222330400 has 72 divisors (see below), whose sum is σ = 571369680. Its totient is φ = 84245760.

The previous prime is 222330379. The next prime is 222330401. The reversal of 222330400 is 4033222.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (222330401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7887 + ... + 22513.

It is an arithmetic number, because the mean of its divisors is an integer number (7935690).

Almost surely, 2^222330400 is an apocalyptic number.

222330400 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 222330400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285684840).

222330400 is an abundant number, since it is smaller than the sum of its proper divisors (349039280).

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

222330400 is a wasteful number, since it uses less digits than its factorization.

222330400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14666 (or 14653 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 16.

The square root of 222330400 is about 14910.7478015021. The cubic root of 222330400 is about 605.8051343670.

Adding to 222330400 its reverse (4033222), we get a palindrome (226363622).

It can be divided in two parts, 2223 and 30400, that added together give a palindrome (32623).

The spelling of 222330400 in words is "two hundred twenty-two million, three hundred thirty thousand, four hundred".