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225810157822564 = 227191373098213021
BaseRepresentation
bin110011010101111110000110…
…001111100110001001100100
31002121112020111011002021121111
4303111332012033212021210
5214044133200400310224
62120131430541554404
765364150134065630
oct6325760617461144
91077466434067544
10225810157822564
1165a4a606261017
12213ab630b75a04
1398cca63bab323
143da93aca75dc0
151b18c915bdd94
hexcd5f863e6264

225810157822564 has 48 divisors (see below), whose sum is σ = 478859804680320. Its totient is φ = 91013105675520.

The previous prime is 225810157822553. The next prime is 225810157822591. The reversal of 225810157822564 is 465228751018522.

It is a super-3 number, since 3×2258101578225643 (a number of 44 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 225810157822499 and 225810157822508.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1549033627 + ... + 1549179394.

It is an arithmetic number, because the mean of its divisors is an integer number (9976245930840).

Almost surely, 2225810157822564 is an apocalyptic number.

It is an amenable number.

225810157822564 is an abundant number, since it is smaller than the sum of its proper divisors (253049646857756).

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

225810157822564 is a wasteful number, since it uses less digits than its factorization.

225810157822564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3098213188 (or 3098213186 counting only the distinct ones).

The product of its (nonzero) digits is 21504000, while the sum is 58.

The spelling of 225810157822564 in words is "two hundred twenty-five trillion, eight hundred ten billion, one hundred fifty-seven million, eight hundred twenty-two thousand, five hundred sixty-four".

Divisors: 1 2 4 7 14 19 28 38 76 133 137 266 274 532 548 959 1918 2603 3836 5206 10412 18221 36442 72884 3098213021 6196426042 12392852084 21687491147 43374982294 58866047399 86749964588 117732094798 235464189596 412062331793 424455183877 824124663586 848910367754 1648249327172 1697820735508 2971186287139 5942372574278 8064648493663 11884745148556 16129296987326 32258593974652 56452539455641 112905078911282 225810157822564