224352240 has 80 divisors (see below), whose sum is σ = 794853888. Its totient is φ = 51280128.

The previous prime is 224352203. The next prime is 224352241. The reversal of 224352240 is 42253422.

It is a happy number.

224352240 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 224352240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224352241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 65092 + ... + 68451.

Almost surely, 2^224352240 is an apocalyptic number.

224352240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

224352240 is an abundant number, since it is smaller than the sum of its proper divisors (570501648).

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

224352240 is a wasteful number, since it uses less digits than its factorization.

224352240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133566 (or 133560 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 24.

The square root of 224352240 is about 14978.3924371075. The cubic root of 224352240 is about 607.6359634037.

The spelling of 224352240 in words is "two hundred twenty-four million, three hundred fifty-two thousand, two hundred forty".