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22442648384 = 261322074949
BaseRepresentation
bin10100111001101011…
…111010001101000000
32010221001210122220102
4110321223322031000
5331430304222014
614150543501532
71423102235522
oct247153721500
963831718812
1022442648384
1195773209a2
124423bb78a8
132168776700
14112c887a12
158b54188de
hex539afa340

22442648384 has 42 divisors (see below), whose sum is σ = 48223912950. Its totient is φ = 10358140416.

The previous prime is 22442648357. The next prime is 22442648387. The reversal of 22442648384 is 48384624422.

It can be written as a sum of positive squares in 3 ways, for example, as 3077142784 + 19365505600 = 55472^2 + 139160^2 .

It is a super-2 number, since 2×224426483842 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22442648387) 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 5 ways as a sum of consecutive naturals, for example, 1026659 + ... + 1048290.

Almost surely, 222442648384 is an apocalyptic number.

It is an amenable number.

22442648384 is an abundant number, since it is smaller than the sum of its proper divisors (25781264566).

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

22442648384 is a wasteful number, since it uses less digits than its factorization.

22442648384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2074987 (or 2074964 counting only the distinct ones).

The product of its digits is 2359296, while the sum is 47.

The spelling of 22442648384 in words is "twenty-two billion, four hundred forty-two million, six hundred forty-eight thousand, three hundred eighty-four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 169 208 338 416 676 832 1352 2704 5408 10816 2074949 4149898 8299796 16599592 26974337 33199184 53948674 66398368 107897348 132796736 215794696 350666381 431589392 701332762 863178784 1402665524 1726357568 2805331048 5610662096 11221324192 22442648384