223727820 has 96 divisors (see below), whose sum is σ = 666138816. Its totient is φ = 55910400.

The previous prime is 223727813. The next prime is 223727843. The reversal of 223727820 is 28727322.

223727820 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 429160 + ... + 429680.

It is an arithmetic number, because the mean of its divisors is an integer number (6938946).

Almost surely, 2^223727820 is an apocalyptic number.

223727820 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 223727820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333069408).

223727820 is an abundant number, since it is smaller than the sum of its proper divisors (442410996).

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

223727820 is a wasteful number, since it uses less digits than its factorization.

223727820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 971 (or 969 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 33.

The square root of 223727820 is about 14957.5338876434. The cubic root of 223727820 is about 607.0717128962.

The spelling of 223727820 in words is "two hundred twenty-three million, seven hundred twenty-seven thousand, eight hundred twenty".