22152 has 32 divisors (see below), whose sum is σ = 60480. Its totient is φ = 6720.

The previous prime is 22147. The next prime is 22153. The reversal of 22152 is 25122.

It is a super-2 number, since 2×22152² = 981422208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a cake number, because a cake can be divided into 22152 parts by 51 planar cuts.

It is a plaindrome in base 16.

It is a nialpdrome in base 8 and base 13.

It is not an unprimeable number, because it can be changed into a prime (22153) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 277 + ... + 347.

It is an arithmetic number, because the mean of its divisors is an integer number (1890).

2²²¹⁵² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30240).

22152 is an abundant number, since it is smaller than the sum of its proper divisors (38328).

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

22152 is a wasteful number, since it uses less digits than its factorization.

22152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 89 counting only the distinct ones).

The product of its digits is 40, while the sum is 12.

The square root of 22152 is about 148.8354796411. The cubic root of 22152 is about 28.0847770706.

Adding to 22152 its reverse (25122), we get a palindrome (47274).

The spelling of 22152 in words is "twenty-two thousand, one hundred fifty-two".