224926992 has 60 divisors (see below), whose sum is σ = 633556300. Its totient is φ = 74490624.

The previous prime is 224926991. The next prime is 224926993. The reversal of 224926992 is 299629422.

It is an interprime number because it is at equal distance from previous prime (224926991) and next prime (224926993).

It can be written as a sum of positive squares in 2 ways, for example, as 77158656 + 147768336 = 8784^2 + 12156^2 .

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224926991) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17634 + ... + 27582.

Almost surely, 2^224926992 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 224926992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316778150).

224926992 is an abundant number, since it is smaller than the sum of its proper divisors (408629308).

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

224926992 is a wasteful number, since it uses less digits than its factorization.

224926992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10120 (or 10111 counting only the distinct ones).

The product of its digits is 279936, while the sum is 45.

The square root of 224926992 is about 14997.5662025543. The cubic root of 224926992 is about 608.1544073440.

It can be divided in two parts, 2249 and 26992, that added together give a square (29241 = 171²).

The spelling of 224926992 in words is "two hundred twenty-four million, nine hundred twenty-six thousand, nine hundred ninety-two".