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22960 = 245741
BaseRepresentation
bin101100110110000
31011111101
411212300
51213320
6254144
7123640
oct54660
934441
1022960
1116283
1211354
13a5b2
148520
156c0a
hex59b0

22960 has 40 divisors (see below), whose sum is σ = 62496. Its totient is φ = 7680.

The previous prime is 22943. The next prime is 22961. The reversal of 22960 is 6922.

22960 is nontrivially palindromic in base 3.

It is a tau number, because it is divible by the number of its divisors (40).

It is a hoax number, since the sum of its digits (19) coincides with the sum of the digits of its distinct prime factors.

It is an Ulam number.

It is a nialpdrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (22961) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 540 + ... + 580.

222960 is an apocalyptic number.

22960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31248).

22960 is an abundant number, since it is smaller than the sum of its proper divisors (39536).

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

22960 is a wasteful number, since it uses less digits than its factorization.

22960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

The square root of 22960 is about 151.5255753990. The cubic root of 22960 is about 28.4221740467.

It can be divided in two parts, 229 and 60, that added together give a square (289 = 172).

The spelling of 22960 in words is "twenty-two thousand, nine hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 41 56 70 80 82 112 140 164 205 280 287 328 410 560 574 656 820 1148 1435 1640 2296 2870 3280 4592 5740 11480 22960