222044400 has 180 divisors, whose sum is σ = 791856312. Its totient is φ = 57576960.

The previous prime is 222044353. The next prime is 222044423. The reversal of 222044400 is 4440222.

222044400 is a `hidden beast` number, since 2 + 220 + 4 + 440 + 0 = 666.

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 an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 132367 + ... + 134033.

Almost surely, 2^222044400 is an apocalyptic number.

222044400 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 222044400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395928156).

222044400 is an abundant number, since it is smaller than the sum of its proper divisors (569811912).

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

222044400 is a wasteful number, since it uses less digits than its factorization.

222044400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1728 (or 1714 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

The square root of 222044400 is about 14901.1543177030. The cubic root of 222044400 is about 605.5452589533.

Adding to 222044400 its reverse (4440222), we get a palindrome (226484622).

The spelling of 222044400 in words is "two hundred twenty-two million, forty-four thousand, four hundred".