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22124444544 = 27336401749
BaseRepresentation
bin10100100110101110…
…000011101110000000
32010002220001020022000
4110212232003232000
5330302324211134
614055215344000
71412156450526
oct244656035600
963086036260
1022124444544
119423743714
124355522000
132117873c07
1410dc4d6316
15897510e99
hex526b83b80

22124444544 has 64 divisors (see below), whose sum is σ = 65297850000. Its totient is φ = 7374813696.

The previous prime is 22124444539. The next prime is 22124444567. The reversal of 22124444544 is 44544442122.

22124444544 is a `hidden beast` number, since 22 + 12 + 44 + 44 + 544 = 666.

It is a tau number, because it is divible by the number of its divisors (64).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 22124444499 and 22124444508.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3197419 + ... + 3204330.

Almost surely, 222124444544 is an apocalyptic number.

22124444544 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

22124444544 is an abundant number, since it is smaller than the sum of its proper divisors (43173405456).

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

22124444544 is an equidigital number, since it uses as much as digits as its factorization.

22124444544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6401772 (or 6401754 counting only the distinct ones).

The product of its digits is 163840, while the sum is 36.

Adding to 22124444544 its reverse (44544442122), we get a palindrome (66668886666).

The spelling of 22124444544 in words is "twenty-two billion, one hundred twenty-four million, four hundred forty-four thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 288 384 432 576 864 1152 1728 3456 6401749 12803498 19205247 25606996 38410494 51213992 57615741 76820988 102427984 115231482 153641976 172847223 204855968 230462964 307283952 345694446 409711936 460925928 614567904 691388892 819423872 921851856 1229135808 1382777784 1843703712 2458271616 2765555568 3687407424 5531111136 7374814848 11062222272 22124444544