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22326380672 = 274722812
BaseRepresentation
bin10100110010110000…
…011000100010000000
32010121222000122120212
4110302300120202000
5331211023140142
614131231453252
71420161050561
oct246260304200
963558018525
1022326380672
119517729282
1243b1087228
13214a65854b
14111b260168
158aa0edd82
hex532c18880

22326380672 has 72 divisors (see below), whose sum is σ = 45607120005. Its totient is φ = 10886794240.

The previous prime is 22326380633. The next prime is 22326380689. The reversal of 22326380672 is 27608362322.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 21613704256 + 712676416 = 147016^2 + 26696^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=105656.

It is a super-3 number, since 3×223263806723 (a number of 32 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 79453172 + ... + 79453452.

Almost surely, 222326380672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22326380672

22326380672 is an abundant number, since it is smaller than the sum of its proper divisors (23280739333).

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

22326380672 is an frugal number, since it uses more digits than its factorization.

22326380672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 670 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 41.

The spelling of 22326380672 in words is "twenty-two billion, three hundred twenty-six million, three hundred eighty thousand, six hundred seventy-two".

Divisors: 1 2 4 8 16 32 47 64 94 128 188 281 376 562 752 1124 1504 2209 2248 3008 4418 4496 6016 8836 8992 13207 17672 17984 26414 35344 35968 52828 70688 78961 105656 141376 157922 211312 282752 315844 422624 620729 631688 845248 1241458 1263376 1690496 2482916 2526752 3711167 4965832 5053504 7422334 9931664 10107008 14844668 19863328 29689336 39726656 59378672 79453312 118757344 174424849 237514688 348849698 475029376 697699396 1395398792 2790797584 5581595168 11163190336 22326380672