224655120 has 200 divisors, whose sum is σ = 802203864. Its totient is φ = 58226688.

The previous prime is 224655103. The next prime is 224655121. The reversal of 224655120 is 21556422.

224655120 is a `hidden beast` number, since 2 + 2 + 4 + 655 + 1 + 2 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 16257024 + 208398096 = 4032^2 + 14436^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (224655121) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 239292 + ... + 240228.

Almost surely, 2^224655120 is an apocalyptic number.

224655120 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 224655120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401101932).

224655120 is an abundant number, since it is smaller than the sum of its proper divisors (577548744).

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

224655120 is a wasteful number, since it uses less digits than its factorization.

224655120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 999 (or 984 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 224655120 is about 14988.4995913534. The cubic root of 224655120 is about 607.9092806704.

The spelling of 224655120 in words is "two hundred twenty-four million, six hundred fifty-five thousand, one hundred twenty".