223057152000 has 960 divisors, whose sum is σ = 860781841920. Its totient is φ = 57397248000.

The previous prime is 223057151923. The next prime is 223057152011. The reversal of 223057152000 is 251750322.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×223057152000² (a number of 23 digits) contains 22 as substring.

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

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 79 ways as a sum of consecutive naturals, for example, 642815827 + ... + 642816173.

It is an arithmetic number, because the mean of its divisors is an integer number (896647752).

Almost surely, 2^223057152000 is an apocalyptic number.

223057152000 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 223057152000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (430390920960).

223057152000 is an abundant number, since it is smaller than the sum of its proper divisors (637724689920).

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

223057152000 is an equidigital number, since it uses as much as digits as its factorization.

223057152000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 427 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The spelling of 223057152000 in words is "two hundred twenty-three billion, fifty-seven million, one hundred fifty-two thousand".