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228571960464 = 2432398412
BaseRepresentation
bin1101010011011111110…
…0110101010010010000
3210211222120110122220100
43110313330311102100
512221103410213324
6253000550212400
722341140415201
oct3246774652220
9724876418810
10228571960464
1188a33a04a71
1238370354100
1318728898c63
14b0c49d95a8
155e2ba1a4c9
hex3537f35490

228571960464 has 45 divisors (see below), whose sum is σ = 639700084569. Its totient is φ = 76188741120.

The previous prime is 228571960453. The next prime is 228571960469. The reversal of 228571960464 is 464069175822.

The square root of 228571960464 is 478092.

It is a perfect power (a square), and thus also a powerful number.

228571960464 is a `hidden beast` number, since 2 + 2 + 8 + 571 + 9 + 6 + 0 + 4 + 64 = 666.

It can be written as a sum of positive squares in only one way, i.e., 66001720464 + 162570240000 = 256908^2 + 403200^2 .

It is a super-2 number, since 2×2285719604642 (a number of 24 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 228571960464.

It is not an unprimeable number, because it can be changed into a prime (228571960469) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 5717184 + ... + 5757024.

Almost surely, 2228571960464 is an apocalyptic number.

228571960464 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

228571960464 is the 478092-nd square number.

It is an amenable number.

228571960464 is an abundant number, since it is smaller than the sum of its proper divisors (411128124105).

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

228571960464 is an frugal number, since it uses more digits than its factorization.

228571960464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79696 (or 39846 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 228571960464 in words is "two hundred twenty-eight billion, five hundred seventy-one million, nine hundred sixty thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 39841 79682 119523 159364 239046 318728 358569 478092 637456 717138 956184 1434276 1912368 2868552 5737104 1587305281 3174610562 4761915843 6349221124 9523831686 12698442248 14285747529 19047663372 25396884496 28571495058 38095326744 57142990116 76190653488 114285980232 228571960464