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22140646332 = 22375311814211
BaseRepresentation
bin10100100111101011…
…110111001110111100
32010011000112100222020
4110213223313032330
5330321001140312
614100554520140
71412444250210
oct244753671674
963130470866
1022140646332
1194318aa322
12435aa36050
13211b02757c
141100712940
15898b6178c
hex527af73bc

22140646332 has 96 divisors (see below), whose sum is σ = 60220952064. Its totient is φ = 6199814400.

The previous prime is 22140646301. The next prime is 22140646343. The reversal of 22140646332 is 23364604122.

It is a junction number, because it is equal to n+sod(n) for n = 22140646293 and 22140646302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5255707 + ... + 5259917.

It is an arithmetic number, because the mean of its divisors is an integer number (627301584).

Almost surely, 222140646332 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 22140646332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30110476032).

22140646332 is an abundant number, since it is smaller than the sum of its proper divisors (38080305732).

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

22140646332 is a wasteful number, since it uses less digits than its factorization.

22140646332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5459 (or 5457 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 33.

The spelling of 22140646332 in words is "twenty-two billion, one hundred forty million, six hundred forty-six thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 53 84 106 159 212 318 371 636 742 1113 1181 1484 2226 2362 3543 4211 4452 4724 7086 8267 8422 12633 14172 16534 16844 24801 25266 29477 33068 49602 50532 58954 62593 88431 99204 117908 125186 176862 187779 223183 250372 353724 375558 438151 446366 669549 751116 876302 892732 1314453 1339098 1562281 1752604 2628906 2678196 3124562 4686843 4973191 5257812 6249124 9373686 9946382 14919573 18747372 19892764 29839146 34812337 59678292 69624674 104437011 139249348 208874022 263579123 417748044 527158246 790737369 1054316492 1581474738 1845053861 3162949476 3690107722 5535161583 7380215444 11070323166 22140646332