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23622 = 2331127
BaseRepresentation
bin101110001000110
31012101220
411301012
51223442
6301210
7125604
oct56106
935356
1023622
1116825
1211806
13a9a1
148874
156eec
hex5c46

23622 has 16 divisors (see below), whose sum is σ = 49152. Its totient is φ = 7560.

The previous prime is 23609. The next prime is 23623. The reversal of 23622 is 22632.

Subtracting from 23622 its reverse (22632), we obtain a triangular number (990 = T44).

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

It is a nialpdrome in base 14.

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 23622.

It is not an unprimeable number, because it can be changed into a prime (23623) 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, 123 + ... + 249.

It is an arithmetic number, because the mean of its divisors is an integer number (3072).

223622 is an apocalyptic number.

23622 is an abundant number, since it is smaller than the sum of its proper divisors (25530).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24576).

23622 is a wasteful number, since it uses less digits than its factorization.

23622 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163.

The product of its digits is 144, while the sum is 15.

The square root of 23622 is about 153.6945021788. The cubic root of 23622 is about 28.6927531307.

The spelling of 23622 in words is "twenty-three thousand, six hundred twenty-two".

Divisors: 1 2 3 6 31 62 93 127 186 254 381 762 3937 7874 11811 23622