224385940 has 24 divisors (see below), whose sum is σ = 477668520. Its totient is φ = 88524288.

The previous prime is 224385919. The next prime is 224385947. The reversal of 224385940 is 49583422.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 101042704 + 123343236 = 10052^2 + 11106^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 224385940.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224385947) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 75385 + ... + 78304.

It is an arithmetic number, because the mean of its divisors is an integer number (19902855).

Almost surely, 2^224385940 is an apocalyptic number.

224385940 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

224385940 is an abundant number, since it is smaller than the sum of its proper divisors (253282580).

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

224385940 is a wasteful number, since it uses less digits than its factorization.

224385940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153771 (or 153769 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 37.

The square root of 224385940 is about 14979.5173486999. The cubic root of 224385940 is about 607.6663862583. Note that the first 3 decimals are identical.

The spelling of 224385940 in words is "two hundred twenty-four million, three hundred eighty-five thousand, nine hundred forty".