222120400 has 30 divisors (see below), whose sum is σ = 533645222. Its totient is φ = 88848000.

The previous prime is 222120389. The next prime is 222120401. The reversal of 222120400 is 4021222.

222120400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 467856 + 221652544 = 684^2 + 14888^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (222120401) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 277251 + ... + 278050.

Almost surely, 2^222120400 is an apocalyptic number.

222120400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

222120400 is an abundant number, since it is smaller than the sum of its proper divisors (311524822).

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

222120400 is a wasteful number, since it uses less digits than its factorization.

222120400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 555319 (or 555308 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

The square root of 222120400 is about 14903.7042375377. The cubic root of 222120400 is about 605.6143385158.

Adding to 222120400 its reverse (4021222), we get a palindrome (226141622).

The spelling of 222120400 in words is "two hundred twenty-two million, one hundred twenty thousand, four hundred".