22251400 has 48 divisors (see below), whose sum is σ = 52496640. Its totient is φ = 8769600.

The previous prime is 22251391. The next prime is 22251421. The reversal of 22251400 is 415222.

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, 13417 + ... + 14983.

It is an arithmetic number, because the mean of its divisors is an integer number (1093680).

Almost surely, 2^22251400 is an apocalyptic number.

22251400 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 22251400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26248320).

22251400 is an abundant number, since it is smaller than the sum of its proper divisors (30245240).

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

22251400 is a wasteful number, since it uses less digits than its factorization.

22251400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1654 (or 1645 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 16.

The square root of 22251400 is about 4717.1389633972. The cubic root of 22251400 is about 281.2672154071.

Adding to 22251400 its reverse (415222), we get a palindrome (22666622).

The spelling of 22251400 in words is "twenty-two million, two hundred fifty-one thousand, four hundred".