223950144 has 112 divisors (see below), whose sum is σ = 653101056. Its totient is φ = 67161600.

The previous prime is 223950137. The next prime is 223950157. The reversal of 223950144 is 441059322.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 225489 + ... + 226479.

Almost surely, 2^223950144 is an apocalyptic number.

223950144 is a gapful number since it is divisible by the number (24) 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 223950144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326550528).

223950144 is an abundant number, since it is smaller than the sum of its proper divisors (429150912).

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

223950144 is a wasteful number, since it uses less digits than its factorization.

223950144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1124 (or 1114 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 223950144 is about 14964.9638823487. The cubic root of 223950144 is about 607.2727338355.

The spelling of 223950144 in words is "two hundred twenty-three million, nine hundred fifty thousand, one hundred forty-four".