222213341324400 has 240 divisors, whose sum is σ = 742808072312064. Its totient is φ = 56677770659840.

The previous prime is 222213341324371. The next prime is 222213341324437. The reversal of 222213341324400 is 4423143312222.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 606382027 + ... + 606748373.

Almost surely, 2^{222213341324400} is an apocalyptic number.

222213341324400 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 222213341324400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371404036156032).

222213341324400 is an abundant number, since it is smaller than the sum of its proper divisors (520594730987664).

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

222213341324400 is a wasteful number, since it uses less digits than its factorization.

222213341324400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 388368 (or 388357 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 33.

Adding to 222213341324400 its reverse (4423143312222), we get a palindrome (226636484636622).

The spelling of 222213341324400 in words is "two hundred twenty-two trillion, two hundred thirteen billion, three hundred forty-one million, three hundred twenty-four thousand, four hundred".