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22513523130 = 2345717192647
BaseRepresentation
bin10100111101111010…
…010001100110111010
32011010000011110210000
4110331322101212322
5332101430220010
614201554533430
71424622534450
oct247572214672
964100143700
1022513523130
11960332a16a
124443897276
13217a360427
1411380569d0
158bb7687c0
hex53de919ba

22513523130 has 480 divisors, whose sum is σ = 77431977216. Its totient is φ = 4581245952.

The previous prime is 22513523119. The next prime is 22513523167. The reversal of 22513523130 is 3132531522.

It is a happy number.

22513523130 is a `hidden beast` number, since 2 + 2 + 5 + 1 + 3 + 523 + 130 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 22513523094 and 22513523103.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 34796467 + ... + 34797113.

Almost surely, 222513523130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22513523130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38715988608).

22513523130 is an abundant number, since it is smaller than the sum of its proper divisors (54918454086).

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

22513523130 is a wasteful number, since it uses less digits than its factorization.

22513523130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 728 (or 700 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The spelling of 22513523130 in words is "twenty-two billion, five hundred thirteen million, five hundred twenty-three thousand, one hundred thirty".