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22130132024 = 2371113171491091
BaseRepresentation
bin10100100111000011…
…110000010000111000
32010010021202012001102
4110213003300100320
5330310303211044
614055541310532
71412256006230
oct244703602070
963107665042
1022130132024
119426978810
124357405448
132118ab58a0
1410dd176cc0
15897c8624e
hex5270f0438

22130132024 has 256 divisors, whose sum is σ = 59439744000. Its totient is φ = 7433625600.

The previous prime is 22130132023. The next prime is 22130132039. The reversal of 22130132024 is 42023103122.

It is a junction number, because it is equal to n+sod(n) for n = 22130131987 and 22130132005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22130132023) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20283719 + ... + 20284809.

It is an arithmetic number, because the mean of its divisors is an integer number (232186500).

Almost surely, 222130132024 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 22130132024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29719872000).

22130132024 is an abundant number, since it is smaller than the sum of its proper divisors (37309611976).

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

22130132024 is a wasteful number, since it uses less digits than its factorization.

22130132024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1294 (or 1290 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 22130132024 its reverse (42023103122), we get a palindrome (64153235146).

The spelling of 22130132024 in words is "twenty-two billion, one hundred thirty million, one hundred thirty-two thousand, twenty-four".