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22106280672 = 253373655139
BaseRepresentation
bin10100100101101000…
…110001001011100000
32010001121212102011000
4110211220301023200
5330233201440142
614053330152000
71411546166610
oct244550611340
963047772130
1022106280672
119414467953
12434b422600
132113b84468
1410d9d28a40
15895b2414c
hex525a312e0

22106280672 has 96 divisors (see below), whose sum is σ = 73687622400. Its totient is φ = 6316078464.

The previous prime is 22106280649. The next prime is 22106280709. The reversal of 22106280672 is 27608260122.

22106280672 is a `hidden beast` number, since 2 + 21 + 0 + 628 + 0 + 6 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1821522 + ... + 1833617.

It is an arithmetic number, because the mean of its divisors is an integer number (767579400).

Almost surely, 222106280672 is an apocalyptic number.

It is an amenable number.

22106280672 is an abundant number, since it is smaller than the sum of its proper divisors (51581341728).

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

22106280672 is a wasteful number, since it uses less digits than its factorization.

22106280672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3655165 (or 3655151 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 22106280672 in words is "twenty-two billion, one hundred six million, two hundred eighty thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 72 84 96 108 112 126 144 168 189 216 224 252 288 336 378 432 504 672 756 864 1008 1512 2016 3024 6048 3655139 7310278 10965417 14620556 21930834 25585973 29241112 32896251 43861668 51171946 58482224 65792502 76757919 87723336 98688753 102343892 116964448 131585004 153515838 175446672 197377506 204687784 230273757 263170008 307031676 350893344 394755012 409375568 460547514 526340016 614063352 690821271 789510024 818751136 921095028 1052680032 1228126704 1381642542 1579020048 1842190056 2456253408 2763285084 3158040096 3684380112 5526570168 7368760224 11053140336 22106280672