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225570656540952 = 233310310138918399
BaseRepresentation
bin110011010010011111000010…
…110110101101100100011000
31002120200100021220011120122000
4303102133002312231210120
5214031222201033302302
62115425421250201000
765340641102556402
oct6322370266554430
91076610256146560
10225570656540952
1165967a84003338
1221371130583160
1398b32b5c33548
143d9b96c727b72
151b1292532631c
hexcd27c2dad918

225570656540952 has 64 divisors (see below), whose sum is σ = 632668508160000. Its totient is φ = 74460216714912.

The previous prime is 225570656540941. The next prime is 225570656540959. The reversal of 225570656540952 is 259045656075522.

225570656540952 is a `hidden beast` number, since 2 + 2 + 5 + 570 + 6 + 5 + 6 + 5 + 4 + 0 + 9 + 52 = 666.

225570656540952 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2255706565409522 (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 225570656540952.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225570656540959) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5069436952 + ... + 5069481447.

It is an arithmetic number, because the mean of its divisors is an integer number (9885445440000).

Almost surely, 2225570656540952 is an apocalyptic number.

It is an amenable number.

225570656540952 is an abundant number, since it is smaller than the sum of its proper divisors (407097851619048).

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

225570656540952 is a wasteful number, since it uses less digits than its factorization.

225570656540952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10138918517 (or 10138918507 counting only the distinct ones).

The product of its (nonzero) digits is 226800000, while the sum is 63.

The spelling of 225570656540952 in words is "two hundred twenty-five trillion, five hundred seventy billion, six hundred fifty-six million, five hundred forty thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 103 108 206 216 309 412 618 824 927 1236 1854 2472 2781 3708 5562 7416 11124 22248 10138918399 20277836798 30416755197 40555673596 60833510394 81111347192 91250265591 121667020788 182500531182 243334041576 273750796773 365001062364 547501593546 730002124728 1044308595097 1095003187092 2088617190194 2190006374184 3132925785291 4177234380388 6265851570582 8354468760776 9398777355873 12531703141164 18797554711746 25063406282328 28196332067619 37595109423492 56392664135238 75190218846984 112785328270476 225570656540952