224765280 has 336 divisors, whose sum is σ = 832918464. Its totient is φ = 57231360.

The previous prime is 224765273. The next prime is 224765287. The reversal of 224765280 is 82567422.

It is an interprime number because it is at equal distance from previous prime (224765273) and next prime (224765287).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224765287) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 4782217 + ... + 4782263.

It is an arithmetic number, because the mean of its divisors is an integer number (2478924).

Almost surely, 2^224765280 is an apocalyptic number.

224765280 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 224765280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (416459232).

224765280 is an abundant number, since it is smaller than the sum of its proper divisors (608153184).

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

224765280 is an equidigital number, since it uses as much as digits as its factorization.

224765280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 224765280 is about 14992.1739584358. The cubic root of 224765280 is about 608.0086275322.

The spelling of 224765280 in words is "two hundred twenty-four million, seven hundred sixty-five thousand, two hundred eighty".