224085951 has 24 divisors (see below), whose sum is σ = 332579520. Its totient is φ = 145305600.

The previous prime is 224085947. The next prime is 224085977. The reversal of 224085951 is 159580422.

224085951 is a `hidden beast` number, since 22 + 40 + 8 + 595 + 1 = 666.

It is not a de Polignac number, because 224085951 - 2² = 224085947 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224085751) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 158335 + ... + 159743.

It is an arithmetic number, because the mean of its divisors is an integer number (13857480).

Almost surely, 2^224085951 is an apocalyptic number.

224085951 is a deficient number, since it is larger than the sum of its proper divisors (108493569).

224085951 is a wasteful number, since it uses less digits than its factorization.

224085951 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1887 (or 1884 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 224085951 is about 14969.5006930759. The cubic root of 224085951 is about 607.3954623761.

The spelling of 224085951 in words is "two hundred twenty-four million, eighty-five thousand, nine hundred fifty-one".