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22345056448 = 26112131731283
BaseRepresentation
bin10100110011110111…
…101000000011000000
32010200021011110221021
4110303313220003000
5331230313301243
614133140035224
71420505563111
oct246367500300
963607143837
1022345056448
119527224700
1243b7392b14
132151496cc0
14111d922208
158aba8c6ed
hex533de80c0

22345056448 has 168 divisors, whose sum is σ = 52832075184. Its totient is φ = 9314088960.

The previous prime is 22345056431. The next prime is 22345056491. The reversal of 22345056448 is 84465054322.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17415615 + ... + 17416897.

It is an arithmetic number, because the mean of its divisors is an integer number (314476638).

Almost surely, 222345056448 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 22345056448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26416037592).

22345056448 is an abundant number, since it is smaller than the sum of its proper divisors (30487018736).

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

22345056448 is a wasteful number, since it uses less digits than its factorization.

22345056448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1503 (or 1482 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 43.

The spelling of 22345056448 in words is "twenty-two billion, three hundred forty-five million, fifty-six thousand, four hundred forty-eight".