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22144331424 = 253230670119
BaseRepresentation
bin10100100111111001…
…111010111010100000
32010011021110120222010
4110213321322322200
5330322422101144
614101205512520
71412520466005
oct244771727240
963137416863
1022144331424
119433996a56
124360112740
13211ba179b7
141100dd18ac
1589913d5b9
hex527e7aea0

22144331424 has 24 divisors (see below), whose sum is σ = 58128870240. Its totient is φ = 7381443776.

The previous prime is 22144331411. The next prime is 22144331449. The reversal of 22144331424 is 42413344122.

It is a tau number, because it is divible by the number of its divisors (24).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 22144331391 and 22144331400.

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 3 ways as a sum of consecutive naturals, for example, 115334964 + ... + 115335155.

It is an arithmetic number, because the mean of its divisors is an integer number (2422036260).

Almost surely, 222144331424 is an apocalyptic number.

22144331424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

22144331424 is an abundant number, since it is smaller than the sum of its proper divisors (35984538816).

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

22144331424 is a wasteful number, since it uses less digits than its factorization.

22144331424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230670132 (or 230670124 counting only the distinct ones).

The product of its digits is 18432, while the sum is 30.

Adding to 22144331424 its reverse (42413344122), we get a palindrome (64557675546).

The spelling of 22144331424 in words is "twenty-two billion, one hundred forty-four million, three hundred thirty-one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 230670119 461340238 692010357 922680476 1384020714 1845360952 2768041428 3690721904 5536082856 7381443808 11072165712 22144331424