222414400 has 252 divisors, whose sum is σ = 643006588. Its totient is φ = 75202560.

The previous prime is 222414377. The next prime is 222414403. The reversal of 222414400 is 4414222.

It can be written as a sum of positive squares in 18 ways, for example, as 70829056 + 151585344 = 8416^2 + 12312^2 .

It is not an unprimeable number, because it can be changed into a prime (222414403) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6011182 + ... + 6011218.

Almost surely, 2^222414400 is an apocalyptic number.

222414400 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 222414400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321503294).

222414400 is an abundant number, since it is smaller than the sum of its proper divisors (420592188).

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

222414400 is a wasteful number, since it uses less digits than its factorization.

222414400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 19.

The square root of 222414400 is about 14913.5642956337. The cubic root of 222414400 is about 605.8814190675.

Adding to 222414400 its reverse (4414222), we get a palindrome (226828622).

The spelling of 222414400 in words is "two hundred twenty-two million, four hundred fourteen thousand, four hundred".