22352 has 20 divisors (see below), whose sum is σ = 47616. Its totient is φ = 10080.

The previous prime is 22349. The next prime is 22367. The reversal of 22352 is 25322.

It is a super-2 number, since 2×22352² = 999223808, which contains 22 as substring.

It is a hoax number, since the sum of its digits (14) coincides with the sum of the digits of its distinct prime factors.

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, 113 + ... + 239.

2²²³⁵² is an apocalyptic number.

22352 is a gapful number since it is divisible by the number (22) 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 22352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23808).

22352 is an abundant number, since it is smaller than the sum of its proper divisors (25264).

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

22352 is a wasteful number, since it uses less digits than its factorization.

22352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 140 counting only the distinct ones).

The product of its digits is 120, while the sum is 14.

The square root of 22352 is about 149.5058527282. The cubic root of 22352 is about 28.1690453896.

Adding to 22352 its sum of digits (14), we get a triangular number (22366 = T₂₁₁).

Adding to 22352 its reverse (25322), we get a palindrome (47674).

It can be divided in two parts, 22 and 352, that multiplied together give a square (7744 = 88²).

The spelling of 22352 in words is "twenty-two thousand, three hundred fifty-two".