229692672 has 360 divisors, whose sum is σ = 801329760. Its totient is φ = 64696320.

The previous prime is 229692667. The next prime is 229692677. The reversal of 229692672 is 276296922.

It is an interprime number because it is at equal distance from previous prime (229692667) and next prime (229692677).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (229692677) 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 39 ways as a sum of consecutive naturals, for example, 4333798 + ... + 4333850.

It is an arithmetic number, because the mean of its divisors is an integer number (2225916).

Almost surely, 2^229692672 is an apocalyptic number.

229692672 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 229692672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (400664880).

229692672 is an abundant number, since it is smaller than the sum of its proper divisors (571637088).

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

229692672 is a wasteful number, since it uses less digits than its factorization.

229692672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 88 counting only the distinct ones).

The product of its digits is 326592, while the sum is 45.

The square root of 229692672 is about 15155.6151970153. The cubic root of 229692672 is about 612.4195508388.

The spelling of 229692672 in words is "two hundred twenty-nine million, six hundred ninety-two thousand, six hundred seventy-two".