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226629315136 = 267285012
BaseRepresentation
bin1101001100010000101…
…0001110101001000000
3210122222012001001111101
43103010022032221000
512203114101041021
6252040112424144
722242041252200
oct3230412165100
9718865031441
10226629315136
1188127381864
1237b09848054
13184a9283793
14ad7c9d0400
155d661d6a91
hex34c428ea40

226629315136 has 63 divisors (see below), whose sum is σ = 523202366217. Its totient is φ = 97115424000.

The previous prime is 226629315119. The next prime is 226629315151. The reversal of 226629315136 is 631513926622.

The square root of 226629315136 is 476056.

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

It can be written as a sum of positive squares in only one way, i.e., 18839209536 + 207790105600 = 137256^2 + 455840^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 26654886 + ... + 26663386.

Almost surely, 2226629315136 is an apocalyptic number.

226629315136 is the 476056-th square number.

It is an amenable number.

226629315136 is an abundant number, since it is smaller than the sum of its proper divisors (296573051081).

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

226629315136 is an frugal number, since it uses more digits than its factorization.

226629315136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17028 (or 8510 counting only the distinct ones).

The product of its digits is 699840, while the sum is 46.

The spelling of 226629315136 in words is "two hundred twenty-six billion, six hundred twenty-nine million, three hundred fifteen thousand, one hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 196 224 392 448 784 1568 3136 8501 17002 34004 59507 68008 119014 136016 238028 272032 416549 476056 544064 833098 952112 1666196 1904224 3332392 3808448 6664784 13329568 26659136 72267001 144534002 289068004 505869007 578136008 1011738014 1156272016 2023476028 2312544032 3541083049 4046952056 4625088064 7082166098 8093904112 14164332196 16187808224 28328664392 32375616448 56657328784 113314657568 226629315136