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21238467200 = 275217390413
BaseRepresentation
bin10011110001111010…
…010100101010000000
32000211010220220212022
4103301322110222000
5321444021422300
613431250021012
71351210664306
oct236172245200
960733826768
1021238467200
119009619835
124148877768
13200614a072
14105698a276
15844854285
hex4f1e94a80

21238467200 has 96 divisors (see below), whose sum is σ = 55552008060. Its totient is φ = 7995637760.

The previous prime is 21238467179. The next prime is 21238467209. The reversal of 21238467200 is 276483212.

It can be written as a sum of positive squares in 6 ways, for example, as 8386163776 + 12852303424 = 91576^2 + 113368^2 .

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (21238467209) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 140807 + ... + 249606.

Almost surely, 221238467200 is an apocalyptic number.

21238467200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21238467200 is an abundant number, since it is smaller than the sum of its proper divisors (34313540860).

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

21238467200 is a wasteful number, since it uses less digits than its factorization.

21238467200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390454 (or 390437 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 35.

The spelling of 21238467200 in words is "twenty-one billion, two hundred thirty-eight million, four hundred sixty-seven thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 17 20 25 32 34 40 50 64 68 80 85 100 128 136 160 170 200 272 320 340 400 425 544 640 680 800 850 1088 1360 1600 1700 2176 2720 3200 3400 5440 6800 10880 13600 27200 54400 390413 780826 1561652 1952065 3123304 3904130 6246608 6637021 7808260 9760325 12493216 13274042 15616520 19520650 24986432 26548084 31233040 33185105 39041300 49972864 53096168 62466080 66370210 78082600 106192336 124932160 132740420 156165200 165925525 212384672 249864320 265480840 312330400 331851050 424769344 530961680 624660800 663702100 849538688 1061923360 1249321600 1327404200 2123846720 2654808400 4247693440 5309616800 10619233600 21238467200