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21522532032 = 263417244219
BaseRepresentation
bin10100000010110101…
…111100011011000000
32001112221102220120000
4110002311330123000
5323034232011112
613515354320000
71361230334541
oct240265743300
961487386500
1021522532032
1191449a9961
124207a29000
13204cc58971
1410825b24c8
1585e7667dc
hex502d7c6c0

21522532032 has 140 divisors (see below), whose sum is σ = 67552717320. Its totient is φ = 6752139264.

The previous prime is 21522532021. The next prime is 21522532051. The reversal of 21522532032 is 23023522512.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 21522531987 and 21522532005.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 33982 + ... + 210237.

Almost surely, 221522532032 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 21522532032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33776358660).

21522532032 is an abundant number, since it is smaller than the sum of its proper divisors (46030185288).

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

21522532032 is a wasteful number, since it uses less digits than its factorization.

21522532032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244260 (or 244241 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The spelling of 21522532032 in words is "twenty-one billion, five hundred twenty-two million, five hundred thirty-two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 64 68 72 81 96 102 108 136 144 153 162 192 204 216 272 288 306 324 408 432 459 544 576 612 648 816 864 918 1088 1224 1296 1377 1632 1728 1836 2448 2592 2754 3264 3672 4896 5184 5508 7344 9792 11016 14688 22032 29376 44064 88128 244219 488438 732657 976876 1465314 1953752 2197971 2930628 3907504 4151723 4395942 5861256 6593913 7815008 8303446 8791884 11722512 12455169 13187826 15630016 16606892 17583768 19781739 23445024 24910338 26375652 33213784 35167536 37365507 39563478 46890048 49820676 52751304 66427568 70335072 74731014 79126956 99641352 105502608 112096521 132855136 140670144 149462028 158253912 199282704 211005216 224193042 265710272 298924056 316507824 336289563 398565408 422010432 448386084 597848112 633015648 672579126 797130816 896772168 1195696224 1266031296 1345158252 1793544336 2391392448 2690316504 3587088672 5380633008 7174177344 10761266016 21522532032