223645440 has 144 divisors (see below), whose sum is σ = 721123200. Its totient is φ = 59068416.

The previous prime is 223645423. The next prime is 223645453. The reversal of 223645440 is 44546322.

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

It is a junction number, because it is equal to n+sod(n) for n = 223645398 and 223645407.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 533551 + ... + 533969.

It is an arithmetic number, because the mean of its divisors is an integer number (5007800).

Almost surely, 2^223645440 is an apocalyptic number.

223645440 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 223645440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360561600).

223645440 is an abundant number, since it is smaller than the sum of its proper divisors (497477760).

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

223645440 is a wasteful number, since it uses less digits than its factorization.

223645440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 582 (or 568 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

The square root of 223645440 is about 14954.7798378980. The cubic root of 223645440 is about 606.9971927238.

The spelling of 223645440 in words is "two hundred twenty-three million, six hundred forty-five thousand, four hundred forty".