224727048 has 320 divisors, whose sum is σ = 803362560. Its totient is φ = 57106944.

The previous prime is 224727023. The next prime is 224727067. The reversal of 224727048 is 840727422.

It is a super-2 number, since 2×224727048² = 101004492205588608, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2181765 + ... + 2181867.

It is an arithmetic number, because the mean of its divisors is an integer number (2510508).

Almost surely, 2^224727048 is an apocalyptic number.

224727048 is a gapful number since it is divisible by the number (28) 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 224727048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401681280).

224727048 is an abundant number, since it is smaller than the sum of its proper divisors (578635512).

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

224727048 is a wasteful number, since it uses less digits than its factorization.

224727048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 50176, while the sum is 36.

The square root of 224727048 is about 14990.8988389623. The cubic root of 224727048 is about 607.9741520059.

The spelling of 224727048 in words is "two hundred twenty-four million, seven hundred twenty-seven thousand, forty-eight".