223788240 has 120 divisors (see below), whose sum is σ = 809401320. Its totient is φ = 55084032.

The previous prime is 223788181. The next prime is 223788259. The reversal of 223788240 is 42887322.

223788240 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 4511376 + 219276864 = 2124^2 + 14808^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 223788195 and 223788204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2595 + ... + 21314.

It is an arithmetic number, because the mean of its divisors is an integer number (6745011).

Almost surely, 2^223788240 is an apocalyptic number.

223788240 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 223788240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404700660).

223788240 is an abundant number, since it is smaller than the sum of its proper divisors (585613080).

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

223788240 is a wasteful number, since it uses less digits than its factorization.

223788240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23941 (or 23932 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 223788240 is about 14959.5534692717. The cubic root of 223788240 is about 607.1263566318.

The spelling of 223788240 in words is "two hundred twenty-three million, seven hundred eighty-eight thousand, two hundred forty".