229817952 has 384 divisors, whose sum is σ = 858009600. Its totient is φ = 58226688.

The previous prime is 229817947. The next prime is 229817963. The reversal of 229817952 is 259718922.

It is a happy number.

It is a super-2 number, since 2×229817952² = 105632582122948608, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 229817898 and 229817907.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2909049 + ... + 2909127.

It is an arithmetic number, because the mean of its divisors is an integer number (2234400).

Almost surely, 2^229817952 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 229817952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (429004800).

229817952 is an abundant number, since it is smaller than the sum of its proper divisors (628191648).

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

229817952 is a wasteful number, since it uses less digits than its factorization.

229817952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 141 counting only the distinct ones).

The product of its digits is 181440, while the sum is 45.

The square root of 229817952 is about 15159.7477551574. The cubic root of 229817952 is about 612.5308734681.

The spelling of 229817952 in words is "two hundred twenty-nine million, eight hundred seventeen thousand, nine hundred fifty-two".