224201460 has 72 divisors (see below), whose sum is σ = 730265760. Its totient is φ = 51245376.

The previous prime is 224201449. The next prime is 224201477. The reversal of 224201460 is 64102422.

It is a super-2 number, since 2×224201460² = 100532589332263200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35190 + ... + 41069.

It is an arithmetic number, because the mean of its divisors is an integer number (10142580).

Almost surely, 2^224201460 is an apocalyptic number.

224201460 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

224201460 is an abundant number, since it is smaller than the sum of its proper divisors (506064300).

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

224201460 is a wasteful number, since it uses less digits than its factorization.

224201460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76285 (or 76276 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 224201460 is about 14973.3583407331. The cubic root of 224201460 is about 607.4998086334.

Adding to 224201460 its reverse (64102422), we get a palindrome (288303882).

The spelling of 224201460 in words is "two hundred twenty-four million, two hundred one thousand, four hundred sixty".