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22813297920 = 283357181521
BaseRepresentation
bin10101001111110001…
…110100110100000000
32011212220020121111000
4111033301310310000
5333210201013140
614251424052000
71435222555440
oct251761646400
964786217430
1022813297920
11974756a426
124508164000
1321c74ac86a
141165bac120
158d7c30a30
hex54fc74d00

22813297920 has 576 divisors, whose sum is σ = 93210324480. Its totient is φ = 5175705600.

The previous prime is 22813297879. The next prime is 22813297933. The reversal of 22813297920 is 2979231822.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 43787260 + ... + 43787780.

It is an arithmetic number, because the mean of its divisors is an integer number (161823480).

Almost surely, 222813297920 is an apocalyptic number.

22813297920 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 22813297920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46605162240).

22813297920 is an abundant number, since it is smaller than the sum of its proper divisors (70397026560).

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

22813297920 is a wasteful number, since it uses less digits than its factorization.

22813297920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 739 (or 719 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 22813297920 in words is "twenty-two billion, eight hundred thirteen million, two hundred ninety-seven thousand, nine hundred twenty".