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225746134477272 = 233217227812480689
BaseRepresentation
bin110011010101000010011110…
…001001111010100111011000
31002121022010020020212100200200
4303111002132021322213120
5214042111040411233042
62120042201551302200
765356422441453363
oct6325023611724730
91077263206770620
10225746134477272
1165a254417a5102
122139b14381a960
1398c69cca47766
143da6257b130da
151b17295a33c4c
hexcd509e27a9d8

225746134477272 has 96 divisors (see below), whose sum is σ = 650212046593200. Its totient is φ = 70510324027392.

The previous prime is 225746134477267. The next prime is 225746134477291. The reversal of 225746134477272 is 272774431647522.

It is a happy number.

225746134477272 is a `hidden beast` number, since 2 + 2 + 5 + 7 + 4 + 6 + 134 + 477 + 27 + 2 = 666.

225746134477272 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2257461344772722 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 405962497 + ... + 406518192.

Almost surely, 2225746134477272 is an apocalyptic number.

It is an amenable number.

225746134477272 is an abundant number, since it is smaller than the sum of its proper divisors (424465912115928).

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

225746134477272 is a wasteful number, since it uses less digits than its factorization.

225746134477272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 812480945 (or 812480938 counting only the distinct ones).

The product of its digits is 221276160, while the sum is 63.

The spelling of 225746134477272 in words is "two hundred twenty-five trillion, seven hundred forty-six billion, one hundred thirty-four million, four hundred seventy-seven thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 136 153 204 227 306 408 454 612 681 908 1224 1362 1816 2043 2724 3859 4086 5448 7718 8172 11577 15436 16344 23154 30872 34731 46308 69462 92616 138924 277848 812480689 1624961378 2437442067 3249922756 4874884134 6499845512 7312326201 9749768268 13812171713 14624652402 19499536536 27624343426 29249304804 41436515139 55248686852 58498609608 82873030278 110497373704 124309545417 165746060556 184433116403 248619090834 331492121112 368866232806 497238181668 553299349209 737732465612 994476363336 1106598698418 1475464931224 1659898047627 2213197396836 3135362978851 3319796095254 4426394793672 6270725957702 6639592190508 9406088936553 12541451915404 13279184381016 18812177873106 25082903830808 28218266809659 37624355746212 56436533619318 75248711492424 112873067238636 225746134477272