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22094456832 = 21134753359
BaseRepresentation
bin10100100100111011…
…101010100000000000
32010000210121200220000
4110210323222200000
5330222140104312
614052224520000
71411343533020
oct244473524000
963023550800
1022094456832
119408821488
124347480000
1321115a46c6
1410d852ba80
15894a8aadc
hex524eea800

22094456832 has 480 divisors, whose sum is σ = 77059382400. Its totient is φ = 6176342016.

The previous prime is 22094456731. The next prime is 22094456833. The reversal of 22094456832 is 23865449022.

It is a super-2 number, since 2×220944568322 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (22094456833) 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, 61544269 + ... + 61544627.

It is an arithmetic number, because the mean of its divisors is an integer number (160540380).

Almost surely, 222094456832 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 22094456832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38529691200).

22094456832 is an abundant number, since it is smaller than the sum of its proper divisors (54964925568).

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

22094456832 is an equidigital number, since it uses as much as digits as its factorization.

22094456832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 453 (or 424 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 22094456832 in words is "twenty-two billion, ninety-four million, four hundred fifty-six thousand, eight hundred thirty-two".