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22144220424 = 2333760713477
BaseRepresentation
bin10100100111111001…
…011111110100001000
32010011021020221201000
4110213321133310020
5330322410023144
614101203255000
71412516524254
oct244771376410
963137227630
1022144220424
119433920617
12436007a460
13211b9a9311
141100da3264
1589911a769
hex527e5fd08

22144220424 has 64 divisors (see below), whose sum is σ = 61524374400. Its totient is φ = 7379888832.

The previous prime is 22144220401. The next prime is 22144220447. The reversal of 22144220424 is 42402244122.

22144220424 is a `hidden beast` number, since 2 + 2 + 14 + 4 + 220 + 424 = 666.

It is an interprime number because it is at equal distance from previous prime (22144220401) and next prime (22144220447).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1636374 + ... + 1649850.

It is an arithmetic number, because the mean of its divisors is an integer number (961318350).

Almost surely, 222144220424 is an apocalyptic number.

22144220424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

22144220424 is an abundant number, since it is smaller than the sum of its proper divisors (39380153976).

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

22144220424 is a wasteful number, since it uses less digits than its factorization.

22144220424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21099 (or 21089 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 27.

Adding to 22144220424 its reverse (42402244122), we get a palindrome (64546464546).

The spelling of 22144220424 in words is "twenty-two billion, one hundred forty-four million, two hundred twenty thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 7607 13477 15214 22821 26954 30428 40431 45642 53908 60856 68463 80862 91284 107816 121293 136926 161724 182568 205389 242586 273852 323448 363879 410778 485172 547704 727758 821556 970344 1455516 1643112 2911032 102519539 205039078 307558617 410078156 615117234 820156312 922675851 1230234468 1845351702 2460468936 2768027553 3690703404 5536055106 7381406808 11072110212 22144220424