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22344653968 = 24713137112019
BaseRepresentation
bin10100110011110110…
…000101110010010000
32010200020102000211121
4110303312011302100
5331230212411333
614133123252024
71420502265520
oct246366056220
963606360747
1022344653968
119526a7a27a
1243b721a014
132151385a50
14111d859680
158aba0d32d
hex533d85c90

22344653968 has 80 divisors (see below), whose sum is σ = 53672814720. Its totient is φ = 8775042048.

The previous prime is 22344653927. The next prime is 22344653971. The reversal of 22344653968 is 86935644322.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 143463 + ... + 255481.

It is an arithmetic number, because the mean of its divisors is an integer number (670910184).

Almost surely, 222344653968 is an apocalyptic number.

22344653968 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22344653968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26836407360).

22344653968 is an abundant number, since it is smaller than the sum of its proper divisors (31328160752).

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

22344653968 is a wasteful number, since it uses less digits than its factorization.

22344653968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112184 (or 112178 counting only the distinct ones).

The product of its digits is 7464960, while the sum is 52.

The spelling of 22344653968 in words is "twenty-two billion, three hundred forty-four million, six hundred fifty-three thousand, nine hundred sixty-eight".

Divisors: 1 2 4 7 8 13 14 16 26 28 52 56 91 104 112 137 182 208 274 364 548 728 959 1096 1456 1781 1918 2192 3562 3836 7124 7672 12467 14248 15344 24934 28496 49868 99736 112019 199472 224038 448076 784133 896152 1456247 1568266 1792304 2912494 3136532 5824988 6273064 10193729 11649976 12546128 15346603 20387458 23299952 30693206 40774916 61386412 81549832 107426221 122772824 163099664 199505839 214852442 245545648 399011678 429704884 798023356 859409768 1396540873 1596046712 1718819536 2793081746 3192093424 5586163492 11172326984 22344653968