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22999884768 = 2533714092699
BaseRepresentation
bin10101011010111001…
…100110001111100000
32012100220100012112000
4111122321212033200
5334100432303033
614322131204000
71442646536430
oct253271461740
965326305460
1022999884768
119832920933
12455a746600
13222704b893
14118289c2c0
158e92daa13
hex55ae663e0

22999884768 has 192 divisors, whose sum is σ = 76749120000. Its totient is φ = 6564298752.

The previous prime is 22999884767. The next prime is 22999884773. The reversal of 22999884768 is 86748899922.

It is a Harshad number since it is a multiple of its sum of digits (72).

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

It is a junction number, because it is equal to n+sod(n) for n = 22999884696 and 22999884705.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22999884767) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8520283 + ... + 8522981.

It is an arithmetic number, because the mean of its divisors is an integer number (399735000).

Almost surely, 222999884768 is an apocalyptic number.

22999884768 is a gapful number since it is divisible by the number (28) 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 22999884768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38374560000).

22999884768 is an abundant number, since it is smaller than the sum of its proper divisors (53749235232).

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

22999884768 is a wasteful number, since it uses less digits than its factorization.

22999884768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4134 (or 4120 counting only the distinct ones).

The product of its digits is 250822656, while the sum is 72.

The spelling of 22999884768 in words is "twenty-two billion, nine hundred ninety-nine million, eight hundred eighty-four thousand, seven hundred sixty-eight".