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23362080 = 2535717409
BaseRepresentation
bin101100100011…
…1101000100000
31121221220202020
41121013220200
521440041310
62152421440
7402401010
oct131075040
947856666
1023362080
1112207305
1279a7880
134abc821
143161c40
1520b7170
hex1647a20

23362080 has 192 divisors, whose sum is σ = 89268480. Its totient is φ = 5013504.

The previous prime is 23362069. The next prime is 23362091. The reversal of 23362080 is 8026332.

It is an interprime number because it is at equal distance from previous prime (23362069) and next prime (23362091).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 23362080.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 56916 + ... + 57324.

It is an arithmetic number, because the mean of its divisors is an integer number (464940).

Almost surely, 223362080 is an apocalyptic number.

23362080 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 23362080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44634240).

23362080 is an abundant number, since it is smaller than the sum of its proper divisors (65906400).

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

23362080 is a wasteful number, since it uses less digits than its factorization.

23362080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 451 (or 443 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 23362080 is about 4833.4335621792. The cubic root of 23362080 is about 285.8712642125.

The spelling of 23362080 in words is "twenty-three million, three hundred sixty-two thousand, eighty".