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23208768 = 263411237
BaseRepresentation
bin101100010001…
…0001101000000
31121200010110000
41120202031000
521420140033
62145240000
7401162022
oct130421500
947603400
1023208768
1112112100
127933000
134a67acb
143122012
152086a13
hex1622340

23208768 has 210 divisors, whose sum is σ = 77664818. Its totient is φ = 6842880.

The previous prime is 23208763. The next prime is 23208781. The reversal of 23208768 is 86780232.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 22581504 + 627264 = 4752^2 + 792^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23208763) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 627246 + ... + 627282.

Almost surely, 223208768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23208768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38832409).

23208768 is an abundant number, since it is smaller than the sum of its proper divisors (54456050).

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

23208768 is a wasteful number, since it uses less digits than its factorization.

23208768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 23208768 is about 4817.5479239962. The cubic root of 23208768 is about 285.2445546339.

The spelling of 23208768 in words is "twenty-three million, two hundred eight thousand, seven hundred sixty-eight".