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226416275544 = 23331418983399
BaseRepresentation
bin1101001011011101110…
…1100011000001011000
3210122102100011112010010
43102313131203001120
512202200031304134
6252003022321520
722233543405414
oct3226735430130
9718370145103
10226416275544
11880280a2a88
1237a6a4292a0
13184740b2254
14ad5c5b5d44
155d52653ce9
hex34b7763058

226416275544 has 128 divisors (see below), whose sum is σ = 605283840000. Its totient is φ = 70454630400.

The previous prime is 226416275537. The next prime is 226416275551. The reversal of 226416275544 is 445572614622.

226416275544 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (226416275537) and next prime (226416275551).

It is a junction number, because it is equal to n+sod(n) for n = 226416275493 and 226416275502.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2673157 + ... + 2756555.

It is an arithmetic number, because the mean of its divisors is an integer number (4728780000).

Almost surely, 2226416275544 is an apocalyptic number.

226416275544 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 226416275544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302641920000).

226416275544 is an abundant number, since it is smaller than the sum of its proper divisors (378867564456).

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

226416275544 is a wasteful number, since it uses less digits than its factorization.

226416275544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83569 (or 83565 counting only the distinct ones).

The product of its digits is 3225600, while the sum is 48.

The spelling of 226416275544 in words is "two hundred twenty-six billion, four hundred sixteen million, two hundred seventy-five thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 12 24 31 41 62 82 89 93 123 124 164 178 186 246 248 267 328 356 372 492 534 712 744 984 1068 1271 2136 2542 2759 3649 3813 5084 5518 7298 7626 8277 10168 10947 11036 14596 15252 16554 21894 22072 29192 30504 33108 43788 66216 83399 87576 113119 166798 226238 250197 333596 339357 452476 500394 667192 678714 904952 1000788 1357428 2001576 2585369 2714856 3419359 5170738 6838718 7422511 7756107 10258077 10341476 13677436 14845022 15512214 20516154 20682952 22267533 27354872 29690044 31024428 41032308 44535066 59380088 62048856 82064616 89070132 106000129 178140264 212000258 230097841 304322951 318000387 424000516 460195682 608645902 636000774 690293523 848001032 912968853 920391364 1217291804 1272001548 1380587046 1825937706 1840782728 2434583608 2544003096 2761174092 3651875412 5522348184 7303750824 9434011481 18868022962 28302034443 37736045924 56604068886 75472091848 113208137772 226416275544