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23268144 = 2433071579
BaseRepresentation
bin101100011000…
…0101100110000
31121210010220010
41120300230300
521424040034
62150414520
7401530104
oct130605460
947703803
1023268144
1112152779
127961440
134a88b43
143139904
1520993e9
hex1630b30

23268144 has 40 divisors (see below), whose sum is σ = 60343360. Its totient is φ = 7725888.

The previous prime is 23268143. The next prime is 23268151. The reversal of 23268144 is 44186232.

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

It is not an unprimeable number, because it can be changed into a prime (23268143) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13947 + ... + 15525.

It is an arithmetic number, because the mean of its divisors is an integer number (1508584).

Almost surely, 223268144 is an apocalyptic number.

23268144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

23268144 is an abundant number, since it is smaller than the sum of its proper divisors (37075216).

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

23268144 is a wasteful number, since it uses less digits than its factorization.

23268144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1897 (or 1891 counting only the distinct ones).

The product of its digits is 9216, while the sum is 30.

The square root of 23268144 is about 4823.7064587307. The cubic root of 23268144 is about 285.4875986692.

The spelling of 23268144 in words is "twenty-three million, two hundred sixty-eight thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 307 614 921 1228 1579 1842 2456 3158 3684 4737 4912 6316 7368 9474 12632 14736 18948 25264 37896 75792 484753 969506 1454259 1939012 2908518 3878024 5817036 7756048 11634072 23268144