22258800 has 180 divisors, whose sum is σ = 80454920. Its totient is φ = 5909760.

The previous prime is 22258783. The next prime is 22258813. The reversal of 22258800 is 885222.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 12.

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 35 ways as a sum of consecutive naturals, for example, 97086 + ... + 97314.

Almost surely, 2^22258800 is an apocalyptic number.

22258800 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 22258800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40227460).

22258800 is an abundant number, since it is smaller than the sum of its proper divisors (58196120).

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

22258800 is a wasteful number, since it uses less digits than its factorization.

22258800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 22258800 is about 4717.9232719492. The cubic root of 22258800 is about 281.2983916733.

It can be divided in two parts, 2225 and 8800, that added together give a square (11025 = 105²).

The spelling of 22258800 in words is "twenty-two million, two hundred fifty-eight thousand, eight hundred".