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226500605156046 = 231331412284700167
BaseRepresentation
bin110011100000000001001000…
…000111001001101011001110
31002200222020122121112221101210
4303200001020013021223032
5214141441214404443141
62121420535212315250
765465062100432514
oct6340011007115316
91080866577487353
10226500605156046
116619640482a9a1
12214a1402472b26
13994cbb9232b70
143dd098b3c04b4
151b2bc01bcb916
hexce00481c9ace

226500605156046 has 64 divisors (see below), whose sum is σ = 515867020333056. Its totient is φ = 65799364780800.

The previous prime is 226500605155991. The next prime is 226500605156051. The reversal of 226500605156046 is 640651506005622.

It is a junction number, because it is equal to n+sod(n) for n = 226500605155986 and 226500605156004.

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, 1142250946 + ... + 1142449221.

It is an arithmetic number, because the mean of its divisors is an integer number (8060422192704).

Almost surely, 2226500605156046 is an apocalyptic number.

226500605156046 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

226500605156046 is an abundant number, since it is smaller than the sum of its proper divisors (289366415177010).

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

226500605156046 is a wasteful number, since it uses less digits than its factorization.

226500605156046 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2284700257.

The product of its (nonzero) digits is 2592000, while the sum is 48.

The spelling of 226500605156046 in words is "two hundred twenty-six trillion, five hundred billion, six hundred five million, one hundred fifty-six thousand, forty-six".

Divisors: 1 2 3 6 13 26 31 39 41 62 78 82 93 123 186 246 403 533 806 1066 1209 1271 1599 2418 2542 3198 3813 7626 16523 33046 49569 99138 2284700167 4569400334 6854100501 13708201002 29701102171 59402204342 70825705177 89103306513 93672706847 141651410354 178206613026 187345413694 212477115531 281018120541 424954231062 562036241082 920734167301 1217745189011 1841468334602 2435490378022 2762202501903 2903853912257 3653235567033 5524405003806 5807707824514 7306471134066 8711561736771 17423123473542 37750100859341 75500201718682 113250302578023 226500605156046