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23268816 = 243361883
BaseRepresentation
bin101100011000…
…0110111010000
31121210011211000
41120300313100
521424100231
62150422000
7401532054
oct130606720
947704730
1023268816
111215322a
127961900
134a8923c
143139c64
1520996e6
hex1630dd0

23268816 has 80 divisors (see below), whose sum is σ = 67961920. Its totient is φ = 7620480.

The previous prime is 23268811. The next prime is 23268841. The reversal of 23268816 is 61886232.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23268811) 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 15 ways as a sum of consecutive naturals, for example, 25911 + ... + 26793.

It is an arithmetic number, because the mean of its divisors is an integer number (849524).

Almost surely, 223268816 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 23268816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33980960).

23268816 is an abundant number, since it is smaller than the sum of its proper divisors (44693104).

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

23268816 is a wasteful number, since it uses less digits than its factorization.

23268816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 961 (or 949 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 23268816 is about 4823.7761142076. The cubic root of 23268816 is about 285.4903470021.

The spelling of 23268816 in words is "twenty-three million, two hundred sixty-eight thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 61 72 108 122 144 183 216 244 366 432 488 549 732 883 976 1098 1464 1647 1766 2196 2649 2928 3294 3532 4392 5298 6588 7064 7947 8784 10596 13176 14128 15894 21192 23841 26352 31788 42384 47682 53863 63576 95364 107726 127152 161589 190728 215452 323178 381456 430904 484767 646356 861808 969534 1292712 1454301 1939068 2585424 2908602 3878136 5817204 7756272 11634408 23268816