229358560 has 192 divisors, whose sum is σ = 614319552. Its totient is φ = 80510976.

The previous prime is 229358539. The next prime is 229358561. The reversal of 229358560 is 65853922.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (229358561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4327494 + ... + 4327546.

It is an arithmetic number, because the mean of its divisors is an integer number (3199581).

Almost surely, 2^229358560 is an apocalyptic number.

229358560 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 229358560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307159776).

229358560 is an abundant number, since it is smaller than the sum of its proper divisors (384960992).

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

229358560 is a wasteful number, since it uses less digits than its factorization.

229358560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 40.

The square root of 229358560 is about 15144.5884724544. The cubic root of 229358560 is about 612.1224639943.

The spelling of 229358560 in words is "two hundred twenty-nine million, three hundred fifty-eight thousand, five hundred sixty".