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22940594208 = 25327231411279
BaseRepresentation
bin10101010111010111…
…011011000000100000
32012012202202221011100
4111113113123000200
5333440243003313
614312212314400
71441326555600
oct252727330040
965182687140
1022940594208
119802404a74
124542912a00
13221798c7cc
141178a66c00
158e3ec8173
hex5575db020

22940594208 has 432 divisors, whose sum is σ = 80309698560. Its totient is φ = 6183475200.

The previous prime is 22940594179. The next prime is 22940594219. The reversal of 22940594208 is 80249504922.

It is a super-2 number, since 2×229405942082 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 17935713 + ... + 17936991.

It is an arithmetic number, because the mean of its divisors is an integer number (185902080).

Almost surely, 222940594208 is an apocalyptic number.

22940594208 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22940594208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40154849280).

22940594208 is an abundant number, since it is smaller than the sum of its proper divisors (57369104352).

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

22940594208 is a wasteful number, since it uses less digits than its factorization.

22940594208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1381 (or 1363 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 22940594208 in words is "twenty-two billion, nine hundred forty million, five hundred ninety-four thousand, two hundred eight".