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225405504522 = 2321155712291663
BaseRepresentation
bin1101000111101100110…
…1110000110000001010
3210112210220020000221100
43101323031300300022
512143112302121042
6251314434122230
722166521114212
oct3217315606012
9715726200840
10225405504522
1187659592830
1237827a20376
13183428735a3
14aca4263242
155ce3a4624c
hex347b370c0a

225405504522 has 96 divisors (see below), whose sum is σ = 534488647680. Its totient is φ = 68085624960.

The previous prime is 225405504509. The next prime is 225405504539.

225405504522 is a `hidden beast` number, since 2 + 2 + 5 + 40 + 550 + 45 + 22 = 666.

225405504522 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 135540663 + ... + 135542325.

It is an arithmetic number, because the mean of its divisors is an integer number (5567590080).

Almost surely, 2225405504522 is an apocalyptic number.

225405504522 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

225405504522 is an abundant number, since it is smaller than the sum of its proper divisors (309083143158).

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

225405504522 is a wasteful number, since it uses less digits than its factorization.

225405504522 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3468 (or 3465 counting only the distinct ones).

The product of its (nonzero) digits is 160000, while the sum is 36.

It can be divided in two parts, 225405 and 504522, that added together give a palindrome (729927).

The spelling of 225405504522 in words is "two hundred twenty-five billion, four hundred five million, five hundred four thousand, five hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 557 1114 1229 1663 1671 2458 3326 3342 3687 4989 5013 6127 7374 9978 10026 11061 12254 13519 14967 18293 18381 22122 27038 29934 36586 36762 40557 54879 55143 81114 109758 110286 121671 164637 243342 329274 684553 926291 1369106 1852582 2043827 2053659 2778873 4087654 4107318 5557746 6131481 6160977 7530083 8336619 10189201 12262962 12321954 15060166 16673238 18394443 20378402 22482097 22590249 30567603 36788886 44964194 45180498 61135206 67446291 67770747 91702809 134892582 135541494 183405618 202338873 404677746 1138411639 2276823278 3415234917 6830469834 10245704751 12522528029 20491409502 25045056058 37567584087 75135168174 112702752261 225405504522