224779920 has 160 divisors (see below), whose sum is σ = 744809472. Its totient is φ = 55942656.

The previous prime is 224779901. The next prime is 224779969. The reversal of 224779920 is 29977422.

It is a hoax number, since the sum of its digits (42) 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, 236887 + ... + 237833.

Almost surely, 2^224779920 is an apocalyptic number.

224779920 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 224779920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372404736).

224779920 is an abundant number, since it is smaller than the sum of its proper divisors (520029552).

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

224779920 is a wasteful number, since it uses less digits than its factorization.

224779920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1029 (or 1023 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 42.

The square root of 224779920 is about 14992.6622052256. The cubic root of 224779920 is about 608.0218280483.

The spelling of 224779920 in words is "two hundred twenty-four million, seven hundred seventy-nine thousand, nine hundred twenty".