224413540 has 48 divisors (see below), whose sum is σ = 510289920. Its totient is φ = 82408320.

The previous prime is 224413537. The next prime is 224413543. The reversal of 224413540 is 45314422.

224413540 = 1826² + 1827² + ... + 1890².

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (224413537) and next prime (224413543).

It is a super-2 number, since 2×224413540² = 100722873870663200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (224413543) 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, 47401 + ... + 51919.

It is an arithmetic number, because the mean of its divisors is an integer number (10631040).

Almost surely, 2^224413540 is an apocalyptic number.

224413540 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 224413540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255144960).

224413540 is an abundant number, since it is smaller than the sum of its proper divisors (285876380).

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

224413540 is a wasteful number, since it uses less digits than its factorization.

224413540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4732 (or 4730 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

The square root of 224413540 is about 14980.4385783594. The cubic root of 224413540 is about 607.6913000365.

Adding to 224413540 its reverse (45314422), we get a palindrome (269727962).

The spelling of 224413540 in words is "two hundred twenty-four million, four hundred thirteen thousand, five hundred forty".