224802648 has 128 divisors (see below), whose sum is σ = 718963200. Its totient is φ = 63752832.

The previous prime is 224802647. The next prime is 224802649. The reversal of 224802648 is 846208422.

It is a happy number.

224802648 is a `hidden beast` number, since 2 + 2 + 4 + 8 + 0 + 2 + 648 = 666.

It is an interprime number because it is at equal distance from previous prime (224802647) and next prime (224802649).

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 (224802647) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 236911 + ... + 237857.

It is an arithmetic number, because the mean of its divisors is an integer number (5616900).

Almost surely, 2^224802648 is an apocalyptic number.

224802648 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 224802648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359481600).

224802648 is an abundant number, since it is smaller than the sum of its proper divisors (494160552).

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

224802648 is a wasteful number, since it uses less digits than its factorization.

224802648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1126 (or 1116 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 224802648 is about 14993.4201568555. The cubic root of 224802648 is about 608.0423201729.

The spelling of 224802648 in words is "two hundred twenty-four million, eight hundred two thousand, six hundred forty-eight".