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23378880 = 26357371
BaseRepresentation
bin101100100101…
…1101111000000
31121222202210110
41121023233000
521441111010
62153031320
7402501000
oct131135700
947882713
1023378880
1112218998
1279b5540
134ac7375
143168000
1520bc120
hex164bbc0

23378880 has 224 divisors, whose sum is σ = 87782400. Its totient is φ = 5268480.

The previous prime is 23378863. The next prime is 23378891. The reversal of 23378880 is 8887332.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

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, 329245 + ... + 329315.

Almost surely, 223378880 is an apocalyptic number.

23378880 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 23378880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43891200).

23378880 is an abundant number, since it is smaller than the sum of its proper divisors (64403520).

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

23378880 is an equidigital number, since it uses as much as digits as its factorization.

23378880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The square root of 23378880 is about 4835.1711448510. The cubic root of 23378880 is about 285.9397724744.

The spelling of 23378880 in words is "twenty-three million, three hundred seventy-eight thousand, eight hundred eighty".