224133140 has 144 divisors (see below), whose sum is σ = 601679232. Its totient is φ = 68640000.

The previous prime is 224133121. The next prime is 224133163. The reversal of 224133140 is 41331422.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1710875 + ... + 1711005.

It is an arithmetic number, because the mean of its divisors is an integer number (4178328).

Almost surely, 2^224133140 is an apocalyptic number.

224133140 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 224133140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300839616).

224133140 is an abundant number, since it is smaller than the sum of its proper divisors (377546092).

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

224133140 is a wasteful number, since it uses less digits than its factorization.

224133140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 224133140 is about 14971.0767815812. The cubic root of 224133140 is about 607.4380953817.

Adding to 224133140 its reverse (41331422), we get a palindrome (265464562).

It can be divided in two parts, 2 and 24133140, that added together give a palindrome (24133142).

The spelling of 224133140 in words is "two hundred twenty-four million, one hundred thirty-three thousand, one hundred forty".