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22995313920 = 2832519313389
BaseRepresentation
bin10101011010101000…
…001010010100000000
32012100120201222111100
4111122220022110000
5334043300021140
614321445214400
71442562641355
oct253250122400
965316658440
1022995313920
119830289777
124559101400
13222610b237
14118202c62c
158e8bd6530
hex55aa0a500

22995313920 has 432 divisors, whose sum is σ = 86475916800. Its totient is φ = 5620285440.

The previous prime is 22995313909. The next prime is 22995313921. The reversal of 22995313920 is 2931359922.

22995313920 is a `hidden beast` number, since 2 + 2 + 99 + 531 + 3 + 9 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a zygodrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22995313921) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6783586 + ... + 6786974.

Almost surely, 222995313920 is an apocalyptic number.

22995313920 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 22995313920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43237958400).

22995313920 is an abundant number, since it is smaller than the sum of its proper divisors (63480602880).

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

22995313920 is a wasteful number, since it uses less digits than its factorization.

22995313920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3466 (or 3449 counting only the distinct ones).

The product of its (nonzero) digits is 262440, while the sum is 45.

The spelling of 22995313920 in words is "twenty-two billion, nine hundred ninety-five million, three hundred thirteen thousand, nine hundred twenty".