229952736 has 192 divisors, whose sum is σ = 736646400. Its totient is φ = 69355008.

The previous prime is 229952729. The next prime is 229952747. The reversal of 229952736 is 637259922.

It is a happy number.

229952736 is a `hidden beast` number, since 2 + 2 + 99 + 527 + 36 = 666.

229952736 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 229952691 and 229952700.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 662515 + ... + 662861.

It is an arithmetic number, because the mean of its divisors is an integer number (3836700).

Almost surely, 2^229952736 is an apocalyptic number.

229952736 is a gapful number since it is divisible by the number (26) 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 229952736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368323200).

229952736 is an abundant number, since it is smaller than the sum of its proper divisors (506693664).

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

229952736 is a wasteful number, since it uses less digits than its factorization.

229952736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 438 (or 424 counting only the distinct ones).

The product of its digits is 408240, while the sum is 45.

The square root of 229952736 is about 15164.1925601069. The cubic root of 229952736 is about 612.6505960948.

The spelling of 229952736 in words is "two hundred twenty-nine million, nine hundred fifty-two thousand, seven hundred thirty-six".