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22672925898240 = 293523414616791
BaseRepresentation
bin1010010011110111100111…
…01100011011011000000000
32222021111210012002212211010
411021323303230123120000
510432433123012220430
6120115444240320520
74530031145211132
oct511736354333000
988244705085733
1022672925898240
117251596651102
1226621b9013140
13c86080b5a987
14585538401052
15294b950e9cb0
hex149ef3b1b600

22672925898240 has 640 divisors, whose sum is σ = 77658153560064. Its totient is φ = 5629116416000.

The previous prime is 22672925898223. The next prime is 22672925898283. The reversal of 22672925898240 is 4289852927622.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×226729258982402 (a number of 28 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 63 ways as a sum of consecutive naturals, for example, 3338669245 + ... + 3338676035.

Almost surely, 222672925898240 is an apocalyptic number.

22672925898240 is a gapful number since it is divisible by the number (20) 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 22672925898240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38829076780032).

22672925898240 is an abundant number, since it is smaller than the sum of its proper divisors (54985227661824).

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

22672925898240 is a wasteful number, since it uses less digits than its factorization.

22672925898240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7342 (or 7326 counting only the distinct ones).

The product of its (nonzero) digits is 139345920, while the sum is 66.

The spelling of 22672925898240 in words is "twenty-two trillion, six hundred seventy-two billion, nine hundred twenty-five million, eight hundred ninety-eight thousand, two hundred forty".