229947520 has 128 divisors (see below), whose sum is σ = 608083200. Its totient is φ = 82452480.

The previous prime is 229947511. The next prime is 229947527. The reversal of 229947520 is 25749922.

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

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (229947527) 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, 626377 + ... + 626743.

It is an arithmetic number, because the mean of its divisors is an integer number (4750650).

Almost surely, 2^229947520 is an apocalyptic number.

229947520 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 229947520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304041600).

229947520 is an abundant number, since it is smaller than the sum of its proper divisors (378135680).

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

229947520 is a wasteful number, since it uses less digits than its factorization.

229947520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 486 (or 474 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 40.

The square root of 229947520 is about 15164.0205750322. The cubic root of 229947520 is about 612.6459638245.

It can be divided in two parts, 229 and 947520, that added together give a palindrome (947749).

The spelling of 229947520 in words is "two hundred twenty-nine million, nine hundred forty-seven thousand, five hundred twenty".