229119120 has 120 divisors (see below), whose sum is σ = 773450496. Its totient is φ = 60781824.

The previous prime is 229119103. The next prime is 229119127. The reversal of 229119120 is 21911922.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×229119120² = 104991142299148800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (229119127) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 159847 + ... + 161273.

Almost surely, 2^229119120 is an apocalyptic number.

229119120 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 229119120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386725248).

229119120 is an abundant number, since it is smaller than the sum of its proper divisors (544331376).

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

229119120 is a wasteful number, since it uses less digits than its factorization.

229119120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1669 (or 1660 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 27.

The square root of 229119120 is about 15136.6812743084. The cubic root of 229119120 is about 611.9093804054.

The spelling of 229119120 in words is "two hundred twenty-nine million, one hundred nineteen thousand, one hundred twenty".