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21332230272 = 273237948859
BaseRepresentation
bin10011110111100000…
…000000000010000000
32001001200100120121200
4103313200000002000
5322142022332042
613444435421200
71353426652113
oct236740000200
961050316550
1021332230272
119057540381
124174154800
13201c6b8a82
1410651d657a
1584cbc5c4c
hex4f7800080

21332230272 has 96 divisors (see below), whose sum is σ = 61548942000. Its totient is φ = 7091836416.

The previous prime is 21332230267. The next prime is 21332230289. The reversal of 21332230272 is 27203223312.

It is a happy number.

21332230272 is a `hidden beast` number, since 21 + 332 + 2 + 302 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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, 412179 + ... + 461037.

Almost surely, 221332230272 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 21332230272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30774471000).

21332230272 is an abundant number, since it is smaller than the sum of its proper divisors (40216711728).

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

21332230272 is a wasteful number, since it uses less digits than its factorization.

21332230272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49258 (or 49243 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 27.

Adding to 21332230272 its reverse (27203223312), we get a palindrome (48535453584).

The spelling of 21332230272 in words is "twenty-one billion, three hundred thirty-two million, two hundred thirty thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 379 384 576 758 1137 1152 1516 2274 3032 3411 4548 6064 6822 9096 12128 13644 18192 24256 27288 36384 48512 48859 54576 72768 97718 109152 145536 146577 195436 218304 293154 390872 436608 439731 586308 781744 879462 1172616 1563488 1758924 2345232 3126976 3517848 4690464 6253952 7035696 9380928 14071392 18517561 18761856 28142784 37035122 55552683 56285568 74070244 111105366 148140488 166658049 222210732 296280976 333316098 444421464 592561952 666632196 888842928 1185123904 1333264392 1777685856 2370247808 2666528784 3555371712 5333057568 7110743424 10666115136 21332230272