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226162632724756 = 227132131364841993
BaseRepresentation
bin110011011011000110010111…
…011000101001000100010100
31002122202221021201210112112121
4303123012113120221010110
5214120422032434143011
62121001402410225324
765431465605242320
oct6333062730510424
91078687251715477
10226162632724756
1166076041141a82
1221447a00125244
13992707742c500
143dbc4890a4980
151b23020a41e71
hexcdb197629114

226162632724756 has 72 divisors (see below), whose sum is σ = 493534899595584. Its totient is φ = 88787947173120.

The previous prime is 226162632724741. The next prime is 226162632724823. The reversal of 226162632724756 is 657427236261622.

It is a happy number.

It is a super-2 number, since 2×2261626327247562 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 226162632724694 and 226162632724703.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 181801105 + ... + 183040888.

It is an arithmetic number, because the mean of its divisors is an integer number (6854651383272).

Almost surely, 2226162632724756 is an apocalyptic number.

226162632724756 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

226162632724756 is an abundant number, since it is smaller than the sum of its proper divisors (267372266870828).

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

226162632724756 is a wasteful number, since it uses less digits than its factorization.

226162632724756 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 364842161 (or 364842146 counting only the distinct ones).

The product of its digits is 121927680, while the sum is 61.

The spelling of 226162632724756 in words is "two hundred twenty-six trillion, one hundred sixty-two billion, six hundred thirty-two million, seven hundred twenty-four thousand, seven hundred fifty-six".

Divisors: 1 2 4 7 13 14 26 28 52 91 131 169 182 262 338 364 524 676 917 1183 1703 1834 2366 3406 3668 4732 6812 11921 22139 23842 44278 47684 88556 154973 309946 619892 364841993 729683986 1459367972 2553893951 4742945909 5107787902 9485891818 10215575804 18971783636 33200621363 47794301083 61658296817 66401242726 95588602166 123316593634 132802485452 191177204332 246633187268 334560107581 431608077719 621325914079 669120215162 863216155438 1242651828158 1338240430324 1726432310876 2485303656316 4349281398553 8077236883027 8698562797106 16154473766054 17397125594212 32308947532108 56540658181189 113081316362378 226162632724756