222133453920 has 1152 divisors, whose sum is σ = 975287319552. Its totient is φ = 46581350400.

The previous prime is 222133453849. The next prime is 222133453991. The reversal of 222133453920 is 29354331222.

222133453920 is a `hidden beast` number, since 2 + 221 + 3 + 3 + 45 + 392 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (222133453849) and next prime (222133453991).

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

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, 189694935 + ... + 189696105.

It is an arithmetic number, because the mean of its divisors is an integer number (846603576).

Almost surely, 2^222133453920 is an apocalyptic number.

222133453920 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 222133453920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (487643659776).

222133453920 is an abundant number, since it is smaller than the sum of its proper divisors (753153865632).

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

222133453920 is a wasteful number, since it uses less digits than its factorization.

222133453920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1266 (or 1246 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The spelling of 222133453920 in words is "two hundred twenty-two billion, one hundred thirty-three million, four hundred fifty-three thousand, nine hundred twenty".