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22005231332 = 2273153577829
BaseRepresentation
bin10100011111100111…
…010010111011100100
32002210120201120111212
4110133213102323210
5330031314400312
614035320250552
71406211244250
oct243747227344
962716646455
1022005231332
119372419aa7
124321610a58
1320c8c64156
1410ca743260
1588bd13822
hex51f9d2ee4

22005231332 has 96 divisors (see below), whose sum is σ = 46423480320. Its totient is φ = 8928092160.

The previous prime is 22005231323. The next prime is 22005231373. The reversal of 22005231332 is 23313250022.

It is a junction number, because it is equal to n+sod(n) for n = 22005231298 and 22005231307.

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, 26543894 + ... + 26544722.

It is an arithmetic number, because the mean of its divisors is an integer number (483577920).

Almost surely, 222005231332 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 22005231332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23211740160).

22005231332 is an abundant number, since it is smaller than the sum of its proper divisors (24418248988).

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

22005231332 is a wasteful number, since it uses less digits than its factorization.

22005231332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1501 (or 1499 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 23.

Adding to 22005231332 its reverse (23313250022), we get a palindrome (45318481354).

The spelling of 22005231332 in words is "twenty-two billion, five million, two hundred thirty-one thousand, three hundred thirty-two".

Divisors: 1 2 4 7 14 28 31 53 62 106 124 212 217 371 434 577 742 829 868 1154 1484 1643 1658 2308 3286 3316 4039 5803 6572 8078 11501 11606 16156 17887 23002 23212 25699 30581 35774 43937 46004 51398 61162 71548 87874 102796 122324 125209 175748 179893 214067 250418 307559 359786 428134 478333 500836 615118 719572 856268 948011 956666 1230236 1362047 1896022 1913332 2724094 3348331 3792044 5448188 6636077 6696662 9534329 13272154 13393324 14828323 19068658 25351649 26544308 29656646 38137316 50703298 59313292 101406596 103798261 177461543 207596522 354923086 415193044 709846172 785901119 1571802238 3143604476 5501307833 11002615666 22005231332