223903680 has 448 divisors, whose sum is σ = 958583808. Its totient is φ = 42762240.

The previous prime is 223903679. The next prime is 223903681. The reversal of 223903680 is 86309322.

It is an interprime number because it is at equal distance from previous prime (223903679) and next prime (223903681).

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223903681) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 960844 + ... + 961076.

It is an arithmetic number, because the mean of its divisors is an integer number (2139696).

Almost surely, 2^223903680 is an apocalyptic number.

223903680 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 223903680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (479291904).

223903680 is an abundant number, since it is smaller than the sum of its proper divisors (734680128).

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

223903680 is a wasteful number, since it uses less digits than its factorization.

223903680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 223903680 is about 14963.4113757525. The cubic root of 223903680 is about 607.2307330113.

The spelling of 223903680 in words is "two hundred twenty-three million, nine hundred three thousand, six hundred eighty".