222646400 has 96 divisors (see below), whose sum is σ = 563752980. Its totient is φ = 86835200.

The previous prime is 222646381. The next prime is 222646409. The reversal of 222646400 is 4646222.

It can be written as a sum of positive squares in 6 ways, for example, as 83028544 + 139617856 = 9112^2 + 11816^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 222646400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (222646409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 130352 + ... + 132048.

Almost surely, 2^222646400 is an apocalyptic number.

222646400 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 222646400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281876490).

222646400 is an abundant number, since it is smaller than the sum of its proper divisors (341106580).

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

222646400 is a wasteful number, since it uses less digits than its factorization.

222646400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1762 (or 1745 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

The square root of 222646400 is about 14921.3404223615. The cubic root of 222646400 is about 606.0920104131.

The spelling of 222646400 in words is "two hundred twenty-two million, six hundred forty-six thousand, four hundred".