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21931427200 = 275210516521
BaseRepresentation
bin10100011011001101…
…110000010110000000
32002121102211221021111
4110123031300112000
5324403421132300
614024122333104
71404324024664
oct243315602600
962542757244
1021931427200
11933479a951
12430095a194
1320b6892c77
1410c0a108a4
158855d59ba
hex51b370580

21931427200 has 96 divisors (see below), whose sum is σ = 54237343320. Its totient is φ = 8762880000.

The previous prime is 21931427197. The next prime is 21931427233. The reversal of 21931427200 is 272413912.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3359940 + ... + 3366460.

Almost surely, 221931427200 is an apocalyptic number.

21931427200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21931427200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27118671660).

21931427200 is an abundant number, since it is smaller than the sum of its proper divisors (32305916120).

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

21931427200 is a wasteful number, since it uses less digits than its factorization.

21931427200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7596 (or 7579 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 31.

The spelling of 21931427200 in words is "twenty-one billion, nine hundred thirty-one million, four hundred twenty-seven thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 160 200 320 400 640 800 1051 1600 2102 3200 4204 5255 6521 8408 10510 13042 16816 21020 26084 26275 32605 33632 42040 52168 52550 65210 67264 84080 104336 105100 130420 134528 163025 168160 208672 210200 260840 326050 336320 417344 420400 521680 652100 672640 834688 840800 1043360 1304200 1681600 2086720 2608400 3363200 4173440 5216800 6853571 10433600 13707142 20867200 27414284 34267855 54828568 68535710 109657136 137071420 171339275 219314272 274142840 342678550 438628544 548285680 685357100 877257088 1096571360 1370714200 2193142720 2741428400 4386285440 5482856800 10965713600 21931427200