222400 has 42 divisors (see below), whose sum is σ = 551180. Its totient is φ = 88320.

The previous prime is 222389. The next prime is 222403. The reversal of 222400 is 4222.

It is a happy number.

222400 is nontrivially palindromic in base 6.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a nialpdrome in base 12.

It is a zygodrome in base 6.

It is not an unprimeable number, because it can be changed into a prime (222403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1531 + ... + 1669.

2²²²⁴⁰⁰ is an apocalyptic number.

222400 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 222400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275590).

222400 is an abundant number, since it is smaller than the sum of its proper divisors (328780).

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

222400 is a wasteful number, since it uses less digits than its factorization.

222400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 10.

The square root of 222400 is about 471.5930449021. The cubic root of 222400 is about 60.5868343054.

Adding to 222400 its reverse (4222), we get a palindrome (226622).

The spelling of 222400 in words is "two hundred twenty-two thousand, four hundred", and thus it is an iban number.