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21320024224 = 2517533472131
BaseRepresentation
bin10011110110110001…
…011100000010100000
32001000211101110001211
4103312301130002200
5322130411233344
613443322035504
71353221134012
oct236661340240
961024343054
1021320024224
119050663834
124170048b94
13201a004065
14106373a1b2
1584bab4334
hex4f6c5c0a0

21320024224 has 96 divisors (see below), whose sum is σ = 45433192896. Its totient is φ = 9810677760.

The previous prime is 21320024189. The next prime is 21320024233. The reversal of 21320024224 is 42242002312.

It is a junction number, because it is equal to n+sod(n) for n = 21320024195 and 21320024204.

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, 10003639 + ... + 10005769.

It is an arithmetic number, because the mean of its divisors is an integer number (473262426).

Almost surely, 221320024224 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 21320024224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22716596448).

21320024224 is an abundant number, since it is smaller than the sum of its proper divisors (24113168672).

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

21320024224 is a wasteful number, since it uses less digits than its factorization.

21320024224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2558 (or 2550 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

Adding to 21320024224 its reverse (42242002312), we get a palindrome (63562026536).

The spelling of 21320024224 in words is "twenty-one billion, three hundred twenty million, twenty-four thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 17 32 34 53 68 106 136 212 272 347 424 544 694 848 901 1388 1696 1802 2131 2776 3604 4262 5552 5899 7208 8524 11104 11798 14416 17048 18391 23596 28832 34096 36227 36782 47192 68192 72454 73564 94384 112943 144908 147128 188768 225886 289816 294256 312647 451772 579632 588512 625294 739457 903544 1159264 1250588 1478914 1807088 1920031 2501176 2957828 3614176 3840062 5002352 5915656 7680124 10004704 11831312 12570769 15360248 23662624 25141538 30720496 39191221 50283076 61440992 78382442 100566152 156764884 201132304 313529768 402264608 627059536 666250757 1254119072 1332501514 2665003028 5330006056 10660012112 21320024224