222625200 has 240 divisors, whose sum is σ = 863516160. Its totient is φ = 47861760.

The previous prime is 222625187. The next prime is 222625201. The reversal of 222625200 is 2526222.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (222625201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 142021 + ... + 143579.

It is an arithmetic number, because the mean of its divisors is an integer number (3597984).

Almost surely, 2^222625200 is an apocalyptic number.

222625200 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 222625200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (431758080).

222625200 is an abundant number, since it is smaller than the sum of its proper divisors (640890960).

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

222625200 is a wasteful number, since it uses less digits than its factorization.

222625200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1604 (or 1593 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 222625200 is about 14920.6300135081. The cubic root of 222625200 is about 606.0727727962.

The spelling of 222625200 in words is "two hundred twenty-two million, six hundred twenty-five thousand, two hundred".