229144960 has 128 divisors (see below), whose sum is σ = 604778400. Its totient is φ = 83015680.

The previous prime is 229144913. The next prime is 229144961. The reversal of 229144960 is 69441922.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (229144961) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 851706 + ... + 851974.

Almost surely, 2^229144960 is an apocalyptic number.

229144960 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 229144960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302389200).

229144960 is an abundant number, since it is smaller than the sum of its proper divisors (375633440).

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

229144960 is an equidigital number, since it uses as much as digits as its factorization.

229144960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 37.

The square root of 229144960 is about 15137.5348059055. The cubic root of 229144960 is about 611.9323832056.

The spelling of 229144960 in words is "two hundred twenty-nine million, one hundred forty-four thousand, nine hundred sixty".