229520 has 40 divisors (see below), whose sum is σ = 565440. Its totient is φ = 86400.

The previous prime is 229519. The next prime is 229529. The reversal of 229520 is 25922.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 229492 and 229501.

It is not an unprimeable number, because it can be changed into a prime (229529) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1445 + ... + 1595.

It is an arithmetic number, because the mean of its divisors is an integer number (14136).

2²²⁹⁵²⁰ is an apocalyptic number.

229520 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 229520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282720).

229520 is an abundant number, since it is smaller than the sum of its proper divisors (335920).

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

229520 is a wasteful number, since it uses less digits than its factorization.

229520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 229520 is about 479.0824563684. The cubic root of 229520 is about 61.2266049761.

229520 divided by its sum of digits (20) gives a triangular number (11476 = T₁₅₁).

The spelling of 229520 in words is "two hundred twenty-nine thousand, five hundred twenty".