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226504525365405 = 355726631925381
BaseRepresentation
bin110011100000000100110001…
…110001100100000010011101
31002200222121202211010012200000
4303200010301301210002131
5214142022231443143110
62121422424212124513
765465261201604360
oct6340046161440235
91080877684105600
10226504525365405
1166198036676241
12214a2117306739
139950392468581
143dd0c3dcc40d7
151b2bd80e401c0
hexce0131c6409d

226504525365405 has 48 divisors (see below), whose sum is σ = 465313000274304. Its totient is φ = 103544925877440.

The previous prime is 226504525365353. The next prime is 226504525365407. The reversal of 226504525365405 is 504563525405622.

226504525365405 is a `hidden beast` number, since 2 + 2 + 6 + 5 + 0 + 4 + 52 + 536 + 54 + 0 + 5 = 666.

It is not a de Polignac number, because 226504525365405 - 213 = 226504525357213 is a prime.

It is a super-2 number, since 2×2265045253654052 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226504525365407) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 13315954186 + ... + 13315971195.

It is an arithmetic number, because the mean of its divisors is an integer number (9694020839048).

Almost surely, 2226504525365405 is an apocalyptic number.

It is an amenable number.

226504525365405 is an abundant number, since it is smaller than the sum of its proper divisors (238808474908899).

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

226504525365405 is an equidigital number, since it uses as much as digits as its factorization.

226504525365405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26631925408 (or 26631925396 counting only the distinct ones).

The product of its (nonzero) digits is 43200000, while the sum is 54.

The spelling of 226504525365405 in words is "two hundred twenty-six trillion, five hundred four billion, five hundred twenty-five million, three hundred sixty-five thousand, four hundred five".

Divisors: 1 3 5 7 9 15 21 27 35 45 63 81 105 135 189 243 315 405 567 945 1215 1701 2835 8505 26631925381 79895776143 133159626905 186423477667 239687328429 399478880715 559270433001 719061985287 932117388335 1198436642145 1677811299003 2157185955861 2796352165005 3595309926435 5033433897009 6471557867583 8389056495015 10785929779305 15100301691027 25167169485045 32357789337915 45300905073081 75501508455135 226504525365405