224465640 has 128 divisors (see below), whose sum is σ = 772796160. Its totient is φ = 51093504.

The previous prime is 224465629. The next prime is 224465701. The reversal of 224465640 is 46564422.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 296142 + ... + 296898.

It is an arithmetic number, because the mean of its divisors is an integer number (6037470).

Almost surely, 2^224465640 is an apocalyptic number.

224465640 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 224465640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386398080).

224465640 is an abundant number, since it is smaller than the sum of its proper divisors (548330520).

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

224465640 is a wasteful number, since it uses less digits than its factorization.

224465640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1131 (or 1127 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 33.

The square root of 224465640 is about 14982.1774118450. The cubic root of 224465640 is about 607.7383237395.

The spelling of 224465640 in words is "two hundred twenty-four million, four hundred sixty-five thousand, six hundred forty".