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22457411168 = 254349932707
BaseRepresentation
bin10100111010100100…
…001110011001100000
32010222002120200122012
4110322210032121200
5331443044124133
614152232132052
71423341562643
oct247244163140
963862520565
1022457411168
119584694445
124428b37028
13216b84509a
14113080ba5a
158b6882b48
hex53a90e660

22457411168 has 48 divisors (see below), whose sum is σ = 45333288000. Its totient is φ = 10945259136.

The previous prime is 22457411159. The next prime is 22457411201. The reversal of 22457411168 is 86111475422.

It is a super-2 number, since 2×224574111682 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

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, 670271 + ... + 702977.

It is an arithmetic number, because the mean of its divisors is an integer number (944443500).

Almost surely, 222457411168 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 22457411168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22666644000).

22457411168 is an abundant number, since it is smaller than the sum of its proper divisors (22875876832).

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

22457411168 is a wasteful number, since it uses less digits than its factorization.

22457411168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33259 (or 33251 counting only the distinct ones).

The product of its digits is 107520, while the sum is 41.

The spelling of 22457411168 in words is "twenty-two billion, four hundred fifty-seven million, four hundred eleven thousand, one hundred sixty-eight".

Divisors: 1 2 4 8 16 32 43 86 172 344 499 688 998 1376 1996 3992 7984 15968 21457 32707 42914 65414 85828 130828 171656 261656 343312 523312 686624 1046624 1406401 2812802 5625604 11251208 16320793 22502416 32641586 45004832 65283172 130566344 261132688 522265376 701794099 1403588198 2807176396 5614352792 11228705584 22457411168