22152128 has 56 divisors (see below), whose sum is σ = 46634400. Its totient is φ = 10419200.

The previous prime is 22152121. The next prime is 22152149. The reversal of 22152128 is 82125122.

It is a hoax number, since the sum of its digits (23) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22152121) 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, 148598 + ... + 148746.

Almost surely, 2^22152128 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 22152128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23317200).

22152128 is an abundant number, since it is smaller than the sum of its proper divisors (24482272).

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

22152128 is a wasteful number, since it uses less digits than its factorization.

22152128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285 (or 275 counting only the distinct ones).

The product of its digits is 640, while the sum is 23.

The square root of 22152128 is about 4706.6047210277. The cubic root of 22152128 is about 280.8483116416.

The spelling of 22152128 in words is "twenty-two million, one hundred fifty-two thousand, one hundred twenty-eight".