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23208320 = 27536263
BaseRepresentation
bin101100010001…
…0000110000000
31121200002211102
41120202012000
521420131240
62145233532
7401160512
oct130420600
947602742
1023208320
1112111833
1279328a8
134a67845
143121bb2
152086815
hex1622180

23208320 has 32 divisors (see below), whose sum is σ = 55483920. Its totient is φ = 9283072.

The previous prime is 23208301. The next prime is 23208391. The reversal of 23208320 is 2380232.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×232083202 = 1077252234444800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 23208292 and 23208301.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 17492 + ... + 18771.

Almost surely, 223208320 is an apocalyptic number.

23208320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23208320 is an abundant number, since it is smaller than the sum of its proper divisors (32275600).

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

23208320 is an equidigital number, since it uses as much as digits as its factorization.

23208320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36282 (or 36270 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 23208320 is about 4817.5014270885. The cubic root of 23208320 is about 285.2427192588.

Adding to 23208320 its reverse (2380232), we get a palindrome (25588552).

The spelling of 23208320 in words is "twenty-three million, two hundred eight thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 36263 72526 145052 181315 290104 362630 580208 725260 1160416 1450520 2320832 2901040 4641664 5802080 11604160 23208320