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22972950 = 233527111317
BaseRepresentation
bin101011110100…
…0101000010110
31121020010222000
41113220220112
521340113300
62140220130
7366160350
oct127505026
947203860
1022972950
1111a70a10
12783a646
1349b4680
1430a00d0
15203bc00
hex15e8a16

22972950 has 384 divisors, whose sum is σ = 89994240. Its totient is φ = 4147200.

The previous prime is 22972931. The next prime is 22972951. The reversal of 22972950 is 5927922.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22972951) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1351342 + ... + 1351358.

It is an arithmetic number, because the mean of its divisors is an integer number (234360).

Almost surely, 222972950 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22972950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44997120).

22972950 is an abundant number, since it is smaller than the sum of its proper divisors (67021290).

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

22972950 is a wasteful number, since it uses less digits than its factorization.

22972950 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 22972950 is about 4793.0105361870. The cubic root of 22972950 is about 284.2751664214.

The spelling of 22972950 in words is "twenty-two million, nine hundred seventy-two thousand, nine hundred fifty".