224862240 has 48 divisors (see below), whose sum is σ = 708317568. Its totient is φ = 59963136.

The previous prime is 224862227. The next prime is 224862257. The reversal of 224862240 is 42268422.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 224862198 and 224862207.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 233752 + ... + 234711.

It is an arithmetic number, because the mean of its divisors is an integer number (14756616).

Almost surely, 2^224862240 is an apocalyptic number.

224862240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

224862240 is an abundant number, since it is smaller than the sum of its proper divisors (483455328).

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

224862240 is a wasteful number, since it uses less digits than its factorization.

224862240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 468481 (or 468473 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

The square root of 224862240 is about 14995.4072969026. The cubic root of 224862240 is about 608.0960432302.

The spelling of 224862240 in words is "two hundred twenty-four million, eight hundred sixty-two thousand, two hundred forty".