224004312 has 64 divisors (see below), whose sum is σ = 711129600. Its totient is φ = 64000800.

The previous prime is 224004311. The next prime is 224004343. The reversal of 224004312 is 213400422.

It is a super-4 number, since 4×224004312⁴ (a number of 35 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

224004312 is a modest number, since divided by 4312 gives 224 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224004311) 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, 72564 + ... + 75587.

It is an arithmetic number, because the mean of its divisors is an integer number (11111400).

Almost surely, 2^224004312 is an apocalyptic number.

It is an amenable number.

224004312 is an abundant number, since it is smaller than the sum of its proper divisors (487125288).

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

224004312 is a wasteful number, since it uses less digits than its factorization.

224004312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148173 (or 148163 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 224004312 is about 14966.7736002119. The cubic root of 224004312 is about 607.3216913060.

Adding to 224004312 its reverse (213400422), we get a palindrome (437404734).

The spelling of 224004312 in words is "two hundred twenty-four million, four thousand, three hundred twelve".