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22107243296 = 2541165710169
BaseRepresentation
bin10100100101101100…
…011100001100100000
32010001200200022121202
4110211230130030200
5330233423241141
614053402540332
71411560316235
oct244554341440
963050608552
1022107243296
119414a65106
12434b8076a8
132114130668
1410da0d978c
15895c6449b
hex525b1c320

22107243296 has 48 divisors (see below), whose sum is σ = 44616481560. Its totient is φ = 10776453120.

The previous prime is 22107243289. The next prime is 22107243329. The reversal of 22107243296 is 69234270122.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 16946832400 + 5160410896 = 130180^2 + 71836^2 .

It is a super-2 number, since 2×221072432962 (a number of 21 digits) contains 22 as substring.

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, 2168900 + ... + 2179068.

Almost surely, 222107243296 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22107243296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22308240780).

22107243296 is an abundant number, since it is smaller than the sum of its proper divisors (22509238264).

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

22107243296 is a wasteful number, since it uses less digits than its factorization.

22107243296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11877 (or 11869 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 38.

The spelling of 22107243296 in words is "twenty-two billion, one hundred seven million, two hundred forty-three thousand, two hundred ninety-six".

Divisors: 1 2 4 8 16 32 41 82 164 328 656 1312 1657 3314 6628 10169 13256 20338 26512 40676 53024 67937 81352 135874 162704 271748 325408 416929 543496 833858 1086992 1667716 2173984 3335432 6670864 13341728 16850033 33700066 67400132 134800264 269600528 539201056 690851353 1381702706 2763405412 5526810824 11053621648 22107243296