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23292 = 2232647
BaseRepresentation
bin101101011111100
31011221200
411223330
51221132
6255500
7124623
oct55374
934850
1023292
1116555
1211590
13a7a9
1486ba
156d7c
hex5afc

23292 has 18 divisors (see below), whose sum is σ = 58968. Its totient is φ = 7752.

The previous prime is 23291. The next prime is 23293. The reversal of 23292 is 29232.

It is an interprime number because it is at equal distance from previous prime (23291) and next prime (23293).

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (18).

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

It is a d-powerful number, because it can be written as 26 + 33 + 28 + 94 + 214 .

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 23292.

It is not an unprimeable number, because it can be changed into a prime (23291) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 288 + ... + 359.

It is an arithmetic number, because the mean of its divisors is an integer number (3276).

223292 is an apocalyptic number.

It is an amenable number.

23292 is an abundant number, since it is smaller than the sum of its proper divisors (35676).

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

23292 is a wasteful number, since it uses less digits than its factorization.

23292 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 657 (or 652 counting only the distinct ones).

The product of its digits is 216, while the sum is 18.

The square root of 23292 is about 152.6171681037. The cubic root of 23292 is about 28.5585132103.

It can be divided in two parts, 232 and 92, that added together give a square (324 = 182).

The spelling of 23292 in words is "twenty-three thousand, two hundred ninety-two".

Divisors: 1 2 3 4 6 9 12 18 36 647 1294 1941 2588 3882 5823 7764 11646 23292