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225657077697 = 3274573336221
BaseRepresentation
bin1101001000101000110…
…1011011111111000001
3210120110102121021110100
43102022031123333001
512144121202441242
6251355422153013
722205664340542
oct3221215337701
9716412537410
10225657077697
11877785a0447
1237898122769
1318382a1705c
14acc982c4c9
155d0ab8b54c
hex348a35bfc1

225657077697 has 12 divisors (see below), whose sum is σ = 325954452564. Its totient is φ = 150435587040.

The previous prime is 225657077663. The next prime is 225657077713. The reversal of 225657077697 is 796770756522.

225657077697 is a `hidden beast` number, since 2 + 2 + 56 + 570 + 7 + 7 + 6 + 9 + 7 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 61564030641 + 164093047056 = 248121^2 + 405084^2 .

It is not a de Polignac number, because 225657077697 - 214 = 225657061313 is a prime.

It is a super-2 number, since 2×2256570776972 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (225657077617) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 503047 + ... + 839267.

It is an arithmetic number, because the mean of its divisors is an integer number (27162871047).

Almost surely, 2225657077697 is an apocalyptic number.

It is an amenable number.

225657077697 is a deficient number, since it is larger than the sum of its proper divisors (100297374867).

225657077697 is a wasteful number, since it uses less digits than its factorization.

225657077697 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 410800 (or 410797 counting only the distinct ones).

The product of its (nonzero) digits is 77792400, while the sum is 63.

The spelling of 225657077697 in words is "two hundred twenty-five billion, six hundred fifty-seven million, seventy-seven thousand, six hundred ninety-seven".

Divisors: 1 3 9 74573 223719 336221 671157 1008663 3025989 25073008633 75219025899 225657077697