224653120 has 112 divisors (see below), whose sum is σ = 554857920. Its totient is φ = 86593536.

The previous prime is 224653097. The next prime is 224653127. The reversal of 224653120 is 21356422.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224653127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1378159 + ... + 1378321.

Almost surely, 2^224653120 is an apocalyptic number.

224653120 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 224653120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277428960).

224653120 is an abundant number, since it is smaller than the sum of its proper divisors (330204800).

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

224653120 is a wasteful number, since it uses less digits than its factorization.

224653120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

The square root of 224653120 is about 14988.4328733861. The cubic root of 224653120 is about 607.9074766872.

The spelling of 224653120 in words is "two hundred twenty-four million, six hundred fifty-three thousand, one hundred twenty".