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22341253352 = 231131471631069
BaseRepresentation
bin10100110011101001…
…000111100011101000
32010200000000021001212
4110303221013203220
5331223330101402
614132522332252
71420431343265
oct246351074350
963600007055
1022341253352
119525067350
1243b605a088
132150764c52
14111d21226c
158ab58a952
hex533a478e8

22341253352 has 128 divisors (see below), whose sum is σ = 48516710400. Its totient is φ = 9550483200.

The previous prime is 22341253351. The next prime is 22341253357. The reversal of 22341253352 is 25335214322.

It is not an unprimeable number, because it can be changed into a prime (22341253351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20898674 + ... + 20899742.

It is an arithmetic number, because the mean of its divisors is an integer number (379036800).

Almost surely, 222341253352 is an apocalyptic number.

22341253352 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22341253352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24258355200).

22341253352 is an abundant number, since it is smaller than the sum of its proper divisors (26175457048).

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

22341253352 is a wasteful number, since it uses less digits than its factorization.

22341253352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1327 (or 1323 counting only the distinct ones).

The product of its digits is 43200, while the sum is 32.

Adding to 22341253352 its reverse (25335214322), we get a palindrome (47676467674).

The spelling of 22341253352 in words is "twenty-two billion, three hundred forty-one million, two hundred fifty-three thousand, three hundred fifty-two".

Divisors: 1 2 4 8 11 22 31 44 47 62 88 94 124 163 188 248 326 341 376 517 652 682 1034 1069 1304 1364 1457 1793 2068 2138 2728 2914 3586 4136 4276 5053 5828 7172 7661 8552 10106 11656 11759 14344 15322 16027 20212 23518 30644 32054 33139 40424 47036 50243 55583 61288 64108 66278 84271 94072 100486 111166 128216 132556 168542 174247 200972 222332 237491 265112 337084 348494 364529 401944 444664 474982 552673 674168 696988 729058 949964 1105346 1393976 1458116 1557533 1899928 1916717 2210692 2612401 2916232 3115066 3833434 4421384 5224802 5401657 6230132 7666868 8189609 10449604 10803314 12460264 15333736 16379218 17132863 20899208 21606628 32758436 34265726 43213256 59418227 65516872 68531452 90085699 118836454 137062904 180171398 237672908 253877879 360342796 475345816 507755758 720685592 1015511516 2031023032 2792656669 5585313338 11170626676 22341253352