229369920 has 112 divisors (see below), whose sum is σ = 784311360. Its totient is φ = 56457216.

The previous prime is 229369909. The next prime is 229369937. The reversal of 229369920 is 29963922.

It is a super-2 number, since 2×229369920² = 105221120401612800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3291 + ... + 21669.

It is an arithmetic number, because the mean of its divisors is an integer number (7002780).

Almost surely, 2^229369920 is an apocalyptic number.

229369920 is a gapful number since it is divisible by the number (20) 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 229369920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392155680).

229369920 is an abundant number, since it is smaller than the sum of its proper divisors (554941440).

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

229369920 is a wasteful number, since it uses less digits than its factorization.

229369920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18412 (or 18402 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 42.

The square root of 229369920 is about 15144.9635192694. The cubic root of 229369920 is about 612.1325698542.

The spelling of 229369920 in words is "two hundred twenty-nine million, three hundred sixty-nine thousand, nine hundred twenty".