22252100 has 36 divisors (see below), whose sum is σ = 52004484. Its totient is φ = 8215680.

The previous prime is 22252067. The next prime is 22252117. The reversal of 22252100 is 125222.

It can be written as a sum of positive squares in 6 ways, for example, as 9535744 + 12716356 = 3088^2 + 3566^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7259 + ... + 9858.

It is an arithmetic number, because the mean of its divisors is an integer number (1444569).

Almost surely, 2^22252100 is an apocalyptic number.

22252100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22252100 is an abundant number, since it is smaller than the sum of its proper divisors (29752384).

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

22252100 is a wasteful number, since it uses less digits than its factorization.

22252100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17144 (or 17137 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 14.

The square root of 22252100 is about 4717.2131603310. The cubic root of 22252100 is about 281.2701648094.

Adding to 22252100 its reverse (125222), we get a palindrome (22377322).

The spelling of 22252100 in words is "twenty-two million, two hundred fifty-two thousand, one hundred".