222937345094400 has 2160 divisors, whose sum is σ = 873032622273504. Its totient is φ = 56057191464960.

The previous prime is 222937345094389. The next prime is 222937345094419. The reversal of 222937345094400 is 4490543739222.

222937345094400 is a `hidden beast` number, since 2 + 2 + 2 + 93 + 7 + 3 + 4 + 509 + 4 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a super-2 number, since 2×222937345094400² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 112994091814 + ... + 112994093786.

Almost surely, 2^{222937345094400} is an apocalyptic number.

222937345094400 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 222937345094400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (436516311136752).

222937345094400 is an abundant number, since it is smaller than the sum of its proper divisors (650095277179104).

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

222937345094400 is a wasteful number, since it uses less digits than its factorization.

222937345094400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2228 (or 2200 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 54.

The spelling of 222937345094400 in words is "two hundred twenty-two trillion, nine hundred thirty-seven billion, three hundred forty-five million, ninety-four thousand, four hundred".