223388928000 has 1728 divisors, whose sum is σ = 1005860419200. Its totient is φ = 48372940800.

The previous prime is 223388927987. The next prime is 223388928013. The reversal of 223388928000 is 829883322.

It is an interprime number because it is at equal distance from previous prime (223388927987) and next prime (223388928013).

It is a tau number, because it is divible by the number of its divisors (1728).

It is a super-2 number, since 2×223388928000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 11757311991 + ... + 11757312009.

It is an arithmetic number, because the mean of its divisors is an integer number (582095150).

Almost surely, 2^223388928000 is an apocalyptic number.

223388928000 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 223388928000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (502930209600).

223388928000 is an abundant number, since it is smaller than the sum of its proper divisors (782471491200).

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

223388928000 is an frugal number, since it uses more digits than its factorization.

223388928000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 223388928000 in words is "two hundred twenty-three billion, three hundred eighty-eight million, nine hundred twenty-eight thousand".