22152100 has 72 divisors (see below), whose sum is σ = 51559200. Its totient is φ = 8236800.

The previous prime is 22152061. The next prime is 22152101. The reversal of 22152100 is 125122.

It is not an unprimeable number, because it can be changed into a prime (22152101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 169035 + ... + 169165.

It is an arithmetic number, because the mean of its divisors is an integer number (716100).

Almost surely, 2^22152100 is an apocalyptic number.

22152100 is a gapful number since it is divisible by the number (20) 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 22152100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25779600).

22152100 is an abundant number, since it is smaller than the sum of its proper divisors (29407100).

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

22152100 is a wasteful number, since it uses less digits than its factorization.

22152100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 13.

The square root of 22152100 is about 4706.6017464833. The cubic root of 22152100 is about 280.8481933120.

Adding to 22152100 its reverse (125122), we get a palindrome (22277222).

The spelling of 22152100 in words is "twenty-two million, one hundred fifty-two thousand, one hundred".