224745864 has 128 divisors (see below), whose sum is σ = 670602240. Its totient is φ = 61431552.

The previous prime is 224745841. The next prime is 224745893. The reversal of 224745864 is 468547422.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 382579 + ... + 383165.

It is an arithmetic number, because the mean of its divisors is an integer number (5239080).

Almost surely, 2^224745864 is an apocalyptic number.

224745864 is a gapful number since it is divisible by the number (24) 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 224745864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335301120).

224745864 is an abundant number, since it is smaller than the sum of its proper divisors (445856376).

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

224745864 is a wasteful number, since it uses less digits than its factorization.

224745864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 699 (or 695 counting only the distinct ones).

The product of its digits is 430080, while the sum is 42.

The square root of 224745864 is about 14991.5264066072. The cubic root of 224745864 is about 607.9911197341.

The spelling of 224745864 in words is "two hundred twenty-four million, seven hundred forty-five thousand, eight hundred sixty-four".