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226455551421561 = 33711532055193003
BaseRepresentation
bin110011011111010111001010…
…101100110010110001111001
31002200210221100202000002111000
4303133113022230302301321
5214140221432130442221
62121344124422355213
765461605446134110
oct6337271254626171
91080727322002430
10226455551421561
1166179295103390
1221494729b8bb09
139948889159887
143dcc715964c77
151b2a9666c6e26
hexcdf5cab32c79

226455551421561 has 64 divisors (see below), whose sum is σ = 426164821309440. Its totient is φ = 115419638992320.

The previous prime is 226455551421529. The next prime is 226455551421581. The reversal of 226455551421561 is 165124155554622.

226455551421561 is a `hidden beast` number, since 2 + 2 + 6 + 4 + 5 + 5 + 5 + 51 + 4 + 21 + 561 = 666.

It is not a de Polignac number, because 226455551421561 - 25 = 226455551421529 is a prime.

It is a super-3 number, since 3×2264555514215613 (a number of 44 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 226455551421498 and 226455551421507.

It is not an unprimeable number, because it can be changed into a prime (226455551421581) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1027486315 + ... + 1027706688.

It is an arithmetic number, because the mean of its divisors is an integer number (6658825332960).

Almost surely, 2226455551421561 is an apocalyptic number.

226455551421561 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

226455551421561 is a deficient number, since it is larger than the sum of its proper divisors (199709269887879).

226455551421561 is a wasteful number, since it uses less digits than its factorization.

226455551421561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2055193083 (or 2055193077 counting only the distinct ones).

The product of its digits is 14400000, while the sum is 54.

The spelling of 226455551421561 in words is "two hundred twenty-six trillion, four hundred fifty-five billion, five hundred fifty-one million, four hundred twenty-one thousand, five hundred sixty-one".

Divisors: 1 3 7 9 11 21 27 33 53 63 77 99 159 189 231 297 371 477 583 693 1113 1431 1749 2079 3339 4081 5247 10017 12243 15741 36729 110187 2055193003 6165579009 14386351021 18496737027 22607123033 43159053063 55490211081 67821369099 108925229159 129477159189 158249861231 203464107297 326775687477 388431477567 474749583693 610392321891 762476604113 980327062431 1198177520749 1424248751079 2287429812339 2940981187293 3594532562247 4272746253237 6862289437017 8387242645243 10783597686741 20586868311051 25161727935729 32350793060223 75485183807187 226455551421561