224190729 has 81 divisors (see below), whose sum is σ = 406904589. Its totient is φ = 118586160.

The previous prime is 224190721. The next prime is 224190731. The reversal of 224190729 is 927091422.

The square root of 224190729 is 14973.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 224190729 - 2³ = 224190721 is a prime.

It is a super-2 number, since 2×224190729² = 100522965939102882, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 224190693 and 224190702.

It is not an unprimeable number, because it can be changed into a prime (224190721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 7231944 + ... + 7231974.

Almost surely, 2^224190729 is an apocalyptic number.

224190729 is the 14973-rd square number.

224190729 is the 7487-th centered octagonal number.

It is an amenable number.

224190729 is a deficient number, since it is larger than the sum of its proper divisors (182713860).

224190729 is a wasteful number, since it uses less digits than its factorization.

224190729 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The cubic root of 224190729 is about 607.4901161832.

Multiplying 224190729 by its sum of digits (36), we get a square (8070866244 = 89838²).

The spelling of 224190729 in words is "two hundred twenty-four million, one hundred ninety thousand, seven hundred twenty-nine".