229405120 has 112 divisors (see below), whose sum is σ = 637885440. Its totient is φ = 76944384.

The previous prime is 229405117. The next prime is 229405133. The reversal of 229405120 is 21504922.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

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, 104191 + ... + 106369.

Almost surely, 2^229405120 is an apocalyptic number.

229405120 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 229405120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318942720).

229405120 is an abundant number, since it is smaller than the sum of its proper divisors (408480320).

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

229405120 is a wasteful number, since it uses less digits than its factorization.

229405120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2250 (or 2240 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

The square root of 229405120 is about 15146.1255771897. The cubic root of 229405120 is about 612.1638816675.

The spelling of 229405120 in words is "two hundred twenty-nine million, four hundred five thousand, one hundred twenty".