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72224114920 = 23528121133041
BaseRepresentation
bin100001101000011100…
…1001000100011101000
320220102102102011222021
41003100321020203220
52140403333134140
653102421234224
75134531563466
oct1032071104350
9226372364867
1072224114920
11286a26a2581
1211bb7862974
136a70170399
1436d216d836
151d2a9e2b4a
hex10d0e488e8

72224114920 has 64 divisors (see below), whose sum is σ = 163213399440. Its totient is φ = 28763750400.

The previous prime is 72224114903. The next prime is 72224114951. The reversal of 72224114920 is 2941142227.

It can be written as a sum of positive squares in 8 ways, for example, as 33344951236 + 38879163684 = 182606^2 + 197178^2 .

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, 23748600 + ... + 23751640.

Almost surely, 272224114920 is an apocalyptic number.

It is an amenable number.

72224114920 is an abundant number, since it is smaller than the sum of its proper divisors (90989284520).

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

72224114920 is a wasteful number, since it uses less digits than its factorization.

72224114920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5446 (or 5442 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 34.

The spelling of 72224114920 in words is "seventy-two billion, two hundred twenty-four million, one hundred fourteen thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 281 562 1124 1405 2113 2248 2810 3041 4226 5620 6082 8452 10565 11240 12164 15205 16904 21130 24328 30410 42260 60820 84520 121640 593753 854521 1187506 1709042 2375012 2968765 3418084 4272605 4750024 5937530 6425633 6836168 8545210 11875060 12851266 17090420 23750120 25702532 32128165 34180840 51405064 64256330 128512660 257025320 1805602873 3611205746 7222411492 9028014365 14444822984 18056028730 36112057460 72224114920