222005036400 has 720 divisors, whose sum is σ = 864678585600. Its totient is φ = 47687823360.

The previous prime is 222005036399. The next prime is 222005036417. The reversal of 222005036400 is 4630500222.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 542799396 + ... + 542799804.

It is an arithmetic number, because the mean of its divisors is an integer number (1200942480).

Almost surely, 2^222005036400 is an apocalyptic number.

222005036400 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 222005036400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432339292800).

222005036400 is an abundant number, since it is smaller than the sum of its proper divisors (642673549200).

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

222005036400 is a wasteful number, since it uses less digits than its factorization.

222005036400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 654 (or 624 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

Adding to 222005036400 its reverse (4630500222), we get a palindrome (226635536622).

The spelling of 222005036400 in words is "two hundred twenty-two billion, five million, thirty-six thousand, four hundred".