222432134400 has 1728 divisors, whose sum is σ = 1023759475200. Its totient is φ = 46077050880.

The previous prime is 222432134389. The next prime is 222432134471. The reversal of 222432134400 is 4431234222.

222432134400 is a `hidden beast` number, since 2 + 2 + 2 + 4 + 3 + 213 + 440 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 596332614 + ... + 596332986.

It is an arithmetic number, because the mean of its divisors is an integer number (592453400).

Almost surely, 2^222432134400 is an apocalyptic number.

222432134400 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 222432134400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (511879737600).

222432134400 is an abundant number, since it is smaller than the sum of its proper divisors (801327340800).

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

222432134400 is a wasteful number, since it uses less digits than its factorization.

222432134400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 461 (or 436 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 222432134400 its reverse (4431234222), we get a palindrome (226863368622).

The spelling of 222432134400 in words is "two hundred twenty-two billion, four hundred thirty-two million, one hundred thirty-four thousand, four hundred".