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23074800 = 2435274167
BaseRepresentation
bin101100000000…
…1011111110000
31121102022200020
41120001133300
521401343200
62142323440
7400063320
oct130013760
947368606
1023074800
1112030491
127889580
134a1bb38
1430c9280
15205bea0
hex16017f0

23074800 has 240 divisors, whose sum is σ = 87827712. Its totient is φ = 5068800.

The previous prime is 23074783. The next prime is 23074801. The reversal of 23074800 is 847032.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23074801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 344367 + ... + 344433.

Almost surely, 223074800 is an apocalyptic number.

23074800 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 23074800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43913856).

23074800 is an abundant number, since it is smaller than the sum of its proper divisors (64752912).

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

23074800 is a wasteful number, since it uses less digits than its factorization.

23074800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 23074800 is about 4803.6236322177. The cubic root of 23074800 is about 284.6946560484.

The spelling of 23074800 in words is "twenty-three million, seventy-four thousand, eight hundred".