222152400 has 180 divisors, whose sum is σ = 804749088. Its totient is φ = 56643840.

The previous prime is 222152387. The next prime is 222152401. The reversal of 222152400 is 4251222.

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 (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (222152401) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 81459 + ... + 84141.

Almost surely, 2^222152400 is an apocalyptic number.

222152400 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 222152400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402374544).

222152400 is an abundant number, since it is smaller than the sum of its proper divisors (582596688).

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

222152400 is a wasteful number, since it uses less digits than its factorization.

222152400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2730 (or 2716 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 222152400 is about 14904.7777574843. Note that the first 4 decimals coincide. The cubic root of 222152400 is about 605.6434199333.

The spelling of 222152400 in words is "two hundred twenty-two million, one hundred fifty-two thousand, four hundred".