22233152 has 56 divisors (see below), whose sum is σ = 46619160. Its totient is φ = 10506240.

The previous prime is 22233149. The next prime is 22233181. The reversal of 22233152 is 25133222.

It can be written as a sum of positive squares in 4 ways, for example, as 7054336 + 15178816 = 2656^2 + 3896^2 .

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 7 ways as a sum of consecutive naturals, for example, 96974 + ... + 97202.

It is an arithmetic number, because the mean of its divisors is an integer number (832485).

Almost surely, 2^22233152 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 22233152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23309580).

22233152 is an abundant number, since it is smaller than the sum of its proper divisors (24386008).

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

22233152 is a wasteful number, since it uses less digits than its factorization.

22233152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319 (or 309 counting only the distinct ones).

The product of its digits is 720, while the sum is 20.

The square root of 22233152 is about 4715.2043433981. The cubic root of 22233152 is about 281.1903068706.

Adding to 22233152 its reverse (25133222), we get a palindrome (47366374).

It can be divided in two parts, 2223 and 3152, that multiplied together give a triangular number (7006896 = T₃₇₄₃).

The spelling of 22233152 in words is "twenty-two million, two hundred thirty-three thousand, one hundred fifty-two".