222449270400 has 1152 divisors, whose sum is σ = 981650741760. Its totient is φ = 46802534400.

The previous prime is 222449270377. The next prime is 222449270437. The reversal of 222449270400 is 4072944222.

222449270400 is a `hidden beast` number, since 2 + 2 + 244 + 9 + 2 + 7 + 0 + 400 = 666.

222449270400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 143 ways as a sum of consecutive naturals, for example, 161077710 + ... + 161079090.

It is an arithmetic number, because the mean of its divisors is an integer number (852127380).

Almost surely, 2^222449270400 is an apocalyptic number.

222449270400 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 222449270400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (490825370880).

222449270400 is an abundant number, since it is smaller than the sum of its proper divisors (759201471360).

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

222449270400 is a wasteful number, since it uses less digits than its factorization.

222449270400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1482 (or 1462 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The spelling of 222449270400 in words is "two hundred twenty-two billion, four hundred forty-nine million, two hundred seventy thousand, four hundred".