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22430100096 = 273419313673
BaseRepresentation
bin10100111000111100…
…000010101010000000
32010220012012010220000
4110320330002222000
5331414101200341
614145414520000
71422560463555
oct247074025200
963805163800
1022430100096
119570230208
12441b966000
132165ca1ca1
14112ad3ca2c
158b428a8b6
hex538f02a80

22430100096 has 320 divisors, whose sum is σ = 72551212800. Its totient is φ = 6852833280.

The previous prime is 22430100079. The next prime is 22430100097. The reversal of 22430100096 is 69000103422.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (22430100097) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6104916 + ... + 6108588.

It is an arithmetic number, because the mean of its divisors is an integer number (226722540).

Almost surely, 222430100096 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 22430100096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36275606400).

22430100096 is an abundant number, since it is smaller than the sum of its proper divisors (50121112704).

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

22430100096 is a wasteful number, since it uses less digits than its factorization.

22430100096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3749 (or 3728 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The spelling of 22430100096 in words is "twenty-two billion, four hundred thirty million, one hundred thousand, ninety-six".