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22604930952 = 23319137487743
BaseRepresentation
bin10101000011010110…
…111101111110001000
32011100101011110201220
4111003112331332020
5332243330242302
614215022042040
71430112512532
oct250326757610
964311143656
1022604930952
11964a99221a
12446a419320
1321932860b6
14114624c852
158c47c24bc
hex5435bdf88

22604930952 has 128 divisors (see below), whose sum is σ = 60124723200. Its totient is φ = 7062225408.

The previous prime is 22604930941. The next prime is 22604930977. The reversal of 22604930952 is 25903940622.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30423493 + ... + 30424235.

It is an arithmetic number, because the mean of its divisors is an integer number (469724400).

Almost surely, 222604930952 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 22604930952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30062361600).

22604930952 is an abundant number, since it is smaller than the sum of its proper divisors (37519792248).

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

22604930952 is a wasteful number, since it uses less digits than its factorization.

22604930952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1395 (or 1391 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 42.

The spelling of 22604930952 in words is "twenty-two billion, six hundred four million, nine hundred thirty thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 114 137 152 228 274 411 456 487 548 743 822 974 1096 1461 1486 1644 1948 2229 2603 2922 2972 3288 3896 4458 5206 5844 5944 7809 8916 9253 10412 11688 14117 15618 17832 18506 20824 27759 28234 31236 37012 42351 55518 56468 62472 66719 74024 84702 101791 111036 112936 133438 169404 200157 203582 222072 266876 305373 338808 361841 400314 407164 533752 610746 723682 800628 814328 1085523 1221492 1267661 1447364 1601256 1934029 2171046 2442984 2535322 2894728 3802983 3868058 4342092 5070644 5802087 6874979 7605966 7736116 8684184 10141288 11604174 13749958 15211932 15472232 20624937 23208348 27499916 30423864 41249874 46416696 49572217 54999832 82499748 99144434 148716651 164999496 198288868 297433302 396577736 594866604 941872123 1189733208 1883744246 2825616369 3767488492 5651232738 7534976984 11302465476 22604930952