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22982960 = 24572111341
BaseRepresentation
bin101011110101…
…1000100110000
31121020122200202
41113223010300
521340423320
62140334332
7366231500
oct127530460
947218622
1022982960
1111a78490
1278443a8
1349b90b0
1430a3a00
15203eb75
hex15eb130

22982960 has 240 divisors, whose sum is σ = 74807712. Its totient is φ = 6451200.

The previous prime is 22982959. The next prime is 22982969. The reversal of 22982960 is 6928922.

It is a Smith number, since the sum of its digits (38) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (22982969) 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, 560540 + ... + 560580.

Almost surely, 222982960 is an apocalyptic number.

22982960 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 22982960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37403856).

22982960 is an abundant number, since it is smaller than the sum of its proper divisors (51824752).

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

22982960 is a wasteful number, since it uses less digits than its factorization.

22982960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 38.

The square root of 22982960 is about 4794.0546513364. The cubic root of 22982960 is about 284.3164494842.

The spelling of 22982960 in words is "twenty-two million, nine hundred eighty-two thousand, nine hundred sixty".