Search a number
BaseRepresentation
bin101011100101000
31010121101
411130220
51203222
6251144
7122023
oct53450
933541
1022312
1115844
1210ab4
13a204
1481ba
156927
hex5728

22312 has 8 divisors (see below), whose sum is σ = 41850. Its totient is φ = 11152.

The previous prime is 22307. The next prime is 22343. The reversal of 22312 is 21322.

Adding to 22312 its sum of digits (10), we get a palindrome (22322).

Adding to 22312 its reverse (21322), we get a palindrome (43634).

Subtracting from 22312 its reverse (21322), we obtain a triangular number (990 = T44).

It can be divided in two parts, 2 and 2312, that multiplied together give a square (4624 = 682).

It can be written as a sum of positive squares in only one way, i.e., 17956 + 4356 = 134^2 + 66^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is a super-3 number, since 3×223123 = 33322437225984, which contains 333 as substring.

It is an unprimeable number.

22312 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 as a sum of consecutive naturals, namely, 1387 + ... + 1402.

222312 is an apocalyptic number.

It is an amenable number.

22312 is a deficient number, since it is larger than the sum of its proper divisors (19538).

22312 is a wasteful number, since it uses less digits than its factorization.

22312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2795 (or 2791 counting only the distinct ones).

The product of its digits is 24, while the sum is 10.

The square root of 22312 is about 149.3720187987. The cubic root of 22312 is about 28.1522320602.

The spelling of 22312 in words is "twenty-two thousand, three hundred twelve", and thus it is an iban number.

Divisors: 1 2 4 8 2789 5578 11156 22312