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10222131332 = 2273147331757
BaseRepresentation
bin10011000010100100…
…10101100010000100
3222101101202002000202
421201102111202010
5131413331200312
64410155430032
7511212453110
oct114122254204
928341662022
1010222131332
114376143626
121b93455318
13c6ba2302a
146cd866740
153ec6399c2
hex261495884

10222131332 has 96 divisors (see below), whose sum is σ = 21646442496. Its totient is φ = 4131388800.

The previous prime is 10222131319. The next prime is 10222131343. The reversal of 10222131332 is 23313122201.

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, 13503098 + ... + 13503854.

It is an arithmetic number, because the mean of its divisors is an integer number (225483776).

Almost surely, 210222131332 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 10222131332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10823221248).

10222131332 is an abundant number, since it is smaller than the sum of its proper divisors (11424311164).

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

10222131332 is a wasteful number, since it uses less digits than its factorization.

10222131332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1177 (or 1175 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 10222131332 its reverse (23313122201), we get a palindrome (33535253533).

The spelling of 10222131332 in words is "ten billion, two hundred twenty-two million, one hundred thirty-one thousand, three hundred thirty-two".

Divisors: 1 2 4 7 14 28 31 47 62 94 124 188 217 329 331 434 658 662 757 868 1316 1324 1457 1514 2317 2914 3028 4634 5299 5828 9268 10199 10261 10598 15557 20398 20522 21196 23467 31114 35579 40796 41044 46934 62228 71158 71827 93868 108899 142316 143654 164269 217798 249053 250567 287308 328538 435596 482267 498106 501134 657076 964534 996212 1002268 1102949 1753969 1929068 2205898 3375869 3507938 4411796 6751738 7015876 7720643 7767577 11776649 13503476 15441286 15535154 23553298 30882572 31070308 47106596 54373039 82436543 108746078 164873086 217492156 329746172 365076119 730152238 1460304476 2555532833 5111065666 10222131332