22153200 has 60 divisors (see below), whose sum is σ = 70967928. Its totient is φ = 5907200.

The previous prime is 22153199. The next prime is 22153217. The reversal of 22153200 is 235122.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 22153200.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8031 + ... + 10430.

Almost surely, 2^22153200 is an apocalyptic number.

22153200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22153200 is an abundant number, since it is smaller than the sum of its proper divisors (48814728).

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

22153200 is a wasteful number, since it uses less digits than its factorization.

22153200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18482 (or 18471 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 22153200 is about 4706.7186021686. The cubic root of 22153200 is about 280.8528418991.

Adding to 22153200 its reverse (235122), we get a palindrome (22388322).

The spelling of 22153200 in words is "twenty-two million, one hundred fifty-three thousand, two hundred".