229965120 has 672 divisors, whose sum is σ = 1061289216. Its totient is φ = 44236800.

The previous prime is 229965107. The next prime is 229965121. The reversal of 229965120 is 21569922.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×229965120² = 105767912833228800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (229965121) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3769890 + ... + 3769950.

Almost surely, 2^229965120 is an apocalyptic number.

229965120 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 229965120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (530644608).

229965120 is an abundant number, since it is smaller than the sum of its proper divisors (831324096).

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

229965120 is a wasteful number, since it uses less digits than its factorization.

229965120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 229965120 is about 15164.6008849557. The cubic root of 229965120 is about 612.6615939038.

The spelling of 229965120 in words is "two hundred twenty-nine million, nine hundred sixty-five thousand, one hundred twenty".