223870080 has 128 divisors (see below), whose sum is σ = 815575680. Its totient is φ = 51167232.

The previous prime is 223870069. The next prime is 223870081. The reversal of 223870080 is 80078322.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (223870081) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5112 + ... + 21768.

It is an arithmetic number, because the mean of its divisors is an integer number (6371685).

Almost surely, 2^223870080 is an apocalyptic number.

223870080 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 223870080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (407787840).

223870080 is an abundant number, since it is smaller than the sum of its proper divisors (591705600).

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

223870080 is a wasteful number, since it uses less digits than its factorization.

223870080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16686 (or 16674 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 223870080 is about 14962.2885949978. The cubic root of 223870080 is about 607.2003568940.

The spelling of 223870080 in words is "two hundred twenty-three million, eight hundred seventy thousand, eighty".