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22993718832 = 2434721719259
BaseRepresentation
bin10101011010100010…
…000100111000110000
32012100110201221110000
4111122202010320300
5334042343000312
614321351110000
71442543246100
oct253242047060
965313657400
1022993718832
11982a39a317
124558672300
1322259a01b6
141181b35200
158e89bdadc
hex55a884e30

22993718832 has 900 divisors, whose sum is σ = 87977304360. Its totient is φ = 5758470144.

The previous prime is 22993718827. The next prime is 22993718863. The reversal of 22993718832 is 23881739922.

It is a super-2 number, since 2×229937188322 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 389724019 + ... + 389724077.

Almost surely, 222993718832 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 22993718832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43988652180).

22993718832 is an abundant number, since it is smaller than the sum of its proper divisors (64983585528).

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

22993718832 is a wasteful number, since it uses less digits than its factorization.

22993718832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 107 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 54.

The spelling of 22993718832 in words is "twenty-two billion, nine hundred ninety-three million, seven hundred eighteen thousand, eight hundred thirty-two".