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226620026622 = 232112421124709
BaseRepresentation
bin1101001100001110011…
…0110010111011111110
3210122221112120011001100
43103003212302323332
512203104211322442
6252035141353530
722241566305033
oct3230346627376
9718845504040
10226620026622
1188122108200
1237b067088a6
13184a7380a12
14ad7b69338a
155d6549e84c
hex34c39b2efe

226620026622 has 72 divisors (see below), whose sum is σ = 539855283240. Its totient is φ = 68653648800.

The previous prime is 226620026621. The next prime is 226620026623.

226620026622 is a `hidden beast` number, since 2 + 2 + 6 + 6 + 2 + 0 + 0 + 26 + 622 = 666.

226620026622 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (226620026621) and next prime (226620026623).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226620026621) 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 35 ways as a sum of consecutive naturals, for example, 9159204 + ... + 9183912.

It is an arithmetic number, because the mean of its divisors is an integer number (7497990045).

Almost surely, 2226620026622 is an apocalyptic number.

226620026622 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 226620026622, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269927641620).

226620026622 is an abundant number, since it is smaller than the sum of its proper divisors (313235256618).

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

226620026622 is a wasteful number, since it uses less digits than its factorization.

226620026622 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28950 (or 28936 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 226620026622 in words is "two hundred twenty-six billion, six hundred twenty million, twenty-six thousand, six hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 121 198 242 363 726 1089 2178 4211 8422 12633 24709 25266 37899 46321 49418 74127 75798 92642 138963 148254 222381 271799 277926 416889 444762 509531 543598 815397 833778 1019062 1528593 1630794 2446191 2989789 3057186 4585779 4892382 5979578 8969367 9171558 17938734 26908101 53816202 104049599 208099198 312148797 624297594 936446391 1144545589 1872892782 2289091178 3433636767 6867273534 10300910301 12590001479 20601820602 25180002958 37770004437 75540008874 113310013311 226620026622