224288540 has 48 divisors (see below), whose sum is σ = 566630400. Its totient is φ = 72850752.

The previous prime is 224288539. The next prime is 224288549. The reversal of 224288540 is 45882422.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 224288540.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224288549) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39500 + ... + 44819.

It is an arithmetic number, because the mean of its divisors is an integer number (11804800).

Almost surely, 2^224288540 is an apocalyptic number.

224288540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

224288540 is an abundant number, since it is smaller than the sum of its proper divisors (342341860).

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

224288540 is a wasteful number, since it uses less digits than its factorization.

224288540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84354 (or 84352 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 35.

The square root of 224288540 is about 14976.2658897337. The cubic root of 224288540 is about 607.5784495663.

The spelling of 224288540 in words is "two hundred twenty-four million, two hundred eighty-eight thousand, five hundred forty".