224955080 has 48 divisors (see below), whose sum is σ = 588790620. Its totient is φ = 77126784.

The previous prime is 224955077. The next prime is 224955083. The reversal of 224955080 is 80559422.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (224955077) and next prime (224955083).

It can be written as a sum of positive squares in 2 ways, for example, as 210772324 + 14182756 = 14518^2 + 3766^2 .

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 224955080.

It is not an unprimeable number, because it can be changed into a prime (224955083) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 55427 + ... + 59346.

Almost surely, 2^224955080 is an apocalyptic number.

224955080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

224955080 is an abundant number, since it is smaller than the sum of its proper divisors (363835540).

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

224955080 is a wasteful number, since it uses less digits than its factorization.

224955080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114798 (or 114787 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 35.

The square root of 224955080 is about 14998.5025919256. The cubic root of 224955080 is about 608.1797209355.

The spelling of 224955080 in words is "two hundred twenty-four million, nine hundred fifty-five thousand, eighty".