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226276106333112 = 233411311024022059
BaseRepresentation
bin110011011100110000000010…
…111100000110101110111000
31002200011210011220102002210000
4303130300002330012232320
5214124301431210124422
62121125450323353000
765442623566062663
oct6334600274065670
91080153156362700
10226276106333112
116610a1810234a0
12214659aa222760
13993498c485274
143dc3b717366da
151b25e62a81cac
hexcdcc02f06bb8

226276106333112 has 160 divisors (see below), whose sum is σ = 713702414937600. Its totient is φ = 66356629358400.

The previous prime is 226276106333107. The next prime is 226276106333117. The reversal of 226276106333112 is 211333601672622.

It is a happy number.

226276106333112 is a `hidden beast` number, since 2 + 2 + 6 + 2 + 7 + 6 + 1 + 0 + 633 + 3 + 1 + 1 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (226276106333107) and next prime (226276106333117).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226276106333117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 511790062 + ... + 512231997.

It is an arithmetic number, because the mean of its divisors is an integer number (4460640093360).

Almost surely, 2226276106333112 is an apocalyptic number.

226276106333112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

226276106333112 is an abundant number, since it is smaller than the sum of its proper divisors (487426308604488).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

226276106333112 is a wasteful number, since it uses less digits than its factorization.

226276106333112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1024022119 (or 1024022106 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The spelling of 226276106333112 in words is "two hundred twenty-six trillion, two hundred seventy-six billion, one hundred six million, three hundred thirty-three thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 31 33 36 44 54 62 66 72 81 88 93 99 108 124 132 162 186 198 216 248 264 279 297 324 341 372 396 558 594 648 682 744 792 837 891 1023 1116 1188 1364 1674 1782 2046 2232 2376 2511 2728 3069 3348 3564 4092 5022 6138 6696 7128 8184 9207 10044 12276 18414 20088 24552 27621 36828 55242 73656 110484 220968 1024022059 2048044118 3072066177 4096088236 6144132354 8192176472 9216198531 11264242649 12288264708 18432397062 22528485298 24576529416 27648595593 31744683829 33792727947 36864794124 45056970596 55297191186 63489367658 67585455894 73729588248 82945786779 90113941192 95234051487 101378183841 110594382372 126978735316 135170911788 165891573558 190468102974 202756367682 221188764744 253957470632 270341823576 285702154461 304134551523 331783147116 349191522119 380936205948 405512735364 571404308922 608269103046 663566294232 698383044238 761872411896 811025470728 857106463383 912403654569 1047574566357 1142808617844 1216538206092 1396766088476 1714212926766 1824807309138 2095149132714 2285617235688 2433076412184 2571319390149 2793532176952 3142723699071 3428425853532 3649614618276 4190298265428 5142638780298 6285447398142 6856851707064 7299229236552 8380596530856 9428171097213 10285277560596 12570894796284 18856342194426 20570555121192 25141789592568 28284513291639 37712684388852 56569026583278 75425368777704 113138053166556 226276106333112