229653760 has 216 divisors, whose sum is σ = 672852096. Its totient is φ = 73543680.

The previous prime is 229653733. The next prime is 229653763. The reversal of 229653760 is 67356922.

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 (229653763) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3234525 + ... + 3234595.

It is an arithmetic number, because the mean of its divisors is an integer number (3115056).

Almost surely, 2^229653760 is an apocalyptic number.

229653760 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 229653760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336426048).

229653760 is an abundant number, since it is smaller than the sum of its proper divisors (443198336).

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

229653760 is an equidigital number, since it uses as much as digits as its factorization.

229653760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 40.

The square root of 229653760 is about 15154.3313940273. The cubic root of 229653760 is about 612.3849657630.

The spelling of 229653760 in words is "two hundred twenty-nine million, six hundred fifty-three thousand, seven hundred sixty".