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23058000 = 243353761
BaseRepresentation
bin101011111110…
…1011001010000
31121101110122000
41113331121100
521400324000
62142114000
7366663330
oct127753120
947343560
1023058000
11120198a9
12787b900
134a142b4
1430c30c0
152057000
hex15fd650

23058000 has 320 divisors, whose sum is σ = 95946240. Its totient is φ = 5184000.

The previous prime is 23057971. The next prime is 23058011. The reversal of 23058000 is 85032.

It is a super-3 number, since 3×230580003 (a number of 23 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 377970 + ... + 378030.

It is an arithmetic number, because the mean of its divisors is an integer number (299832).

Almost surely, 223058000 is an apocalyptic number.

23058000 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 23058000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47973120).

23058000 is an abundant number, since it is smaller than the sum of its proper divisors (72888240).

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

23058000 is a wasteful number, since it uses less digits than its factorization.

23058000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 23058000 is about 4801.8746339320. The cubic root of 23058000 is about 284.6255470140.

The spelling of 23058000 in words is "twenty-three million, fifty-eight thousand".