222206400 has 252 divisors, whose sum is σ = 851242392. Its totient is φ = 54650880.

The previous prime is 222206399. The next prime is 222206401. The reversal of 222206400 is 4602222.

It is a happy number.

222206400 is a `hidden beast` number, since 2 + 2 + 2 + 20 + 640 + 0 = 666.

222206400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (222206399) and next prime (222206401).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (222206401) 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, 186607 + ... + 187793.

It is an arithmetic number, because the mean of its divisors is an integer number (3377946).

Almost surely, 2^222206400 is an apocalyptic number.

222206400 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 222206400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (425621196).

222206400 is an abundant number, since it is smaller than the sum of its proper divisors (629035992).

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

222206400 is a wasteful number, since it uses less digits than its factorization.

222206400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1228 (or 1210 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 222206400 is about 14906.5891470853. The cubic root of 222206400 is about 605.6924884933.

Adding to 222206400 its reverse (4602222), we get a palindrome (226808622).

The spelling of 222206400 in words is "two hundred twenty-two million, two hundred six thousand, four hundred".