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22130532340 = 225717193115787
BaseRepresentation
bin10100100111000101…
…010001111111110100
32010010022111112011221
4110213011101333310
5330310404013330
614055554040124
71412262264310
oct244705217764
963108445157
1022130532340
119427121554
124357579044
132118bc5b67
1410dd23cb40
15897d14b7a
hex527151ff4

22130532340 has 192 divisors, whose sum is σ = 61110927360. Its totient is φ = 6546769920.

The previous prime is 22130532337. The next prime is 22130532343. The reversal of 22130532340 is 4323503122.

It is an interprime number because it is at equal distance from previous prime (22130532337) and next prime (22130532343).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22130532343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1393927 + ... + 1409713.

It is an arithmetic number, because the mean of its divisors is an integer number (318286080).

Almost surely, 222130532340 is an apocalyptic number.

22130532340 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 22130532340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30555463680).

22130532340 is an abundant number, since it is smaller than the sum of its proper divisors (38980395020).

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

22130532340 is a wasteful number, since it uses less digits than its factorization.

22130532340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15870 (or 15868 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 25.

The spelling of 22130532340 in words is "twenty-two billion, one hundred thirty million, five hundred thirty-two thousand, three hundred forty".