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22024434144 = 253263387133
BaseRepresentation
bin10100100000110000…
…100011000111100000
32002211220212011211010
4110200300203013200
5330101223343034
614041244020520
71406533413156
oct244060430740
962756764733
1022024434144
119382245399
124327b31740
1320ccc2876b
1410cd1013d6
1588d8583e9
hex520c231e0

22024434144 has 48 divisors (see below), whose sum is σ = 57836760912. Its totient is φ = 7338605568.

The previous prime is 22024434143. The next prime is 22024434181. The reversal of 22024434144 is 44143442022.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22024434143) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 209202 + ... + 296334.

It is an arithmetic number, because the mean of its divisors is an integer number (1204932519).

Almost surely, 222024434144 is an apocalyptic number.

22024434144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

22024434144 is an abundant number, since it is smaller than the sum of its proper divisors (35812326768).

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

22024434144 is a wasteful number, since it uses less digits than its factorization.

22024434144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89779 (or 89771 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 30.

Adding to 22024434144 its reverse (44143442022), we get a palindrome (66167876166).

The spelling of 22024434144 in words is "twenty-two billion, twenty-four million, four hundred thirty-four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 2633 5266 7899 10532 15798 21064 31596 42128 63192 84256 87133 126384 174266 252768 261399 348532 522798 697064 1045596 1394128 2091192 2788256 4182384 8364768 229421189 458842378 688263567 917684756 1376527134 1835369512 2753054268 3670739024 5506108536 7341478048 11012217072 22024434144