229188864 has 72 divisors (see below), whose sum is σ = 615898080. Its totient is φ = 75655168.

The previous prime is 229188821. The next prime is 229188871. The reversal of 229188864 is 468881922.

It is a super-2 number, since 2×229188864² = 105055070763220992, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 80782 + ... + 83570.

It is an arithmetic number, because the mean of its divisors is an integer number (8554140).

Almost surely, 2^229188864 is an apocalyptic number.

229188864 is a gapful number since it is divisible by the number (24) 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 229188864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307949040).

229188864 is an abundant number, since it is smaller than the sum of its proper divisors (386709216).

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

229188864 is a wasteful number, since it uses less digits than its factorization.

229188864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2915 (or 2901 counting only the distinct ones).

The product of its digits is 442368, while the sum is 48.

The square root of 229188864 is about 15138.9849065253. The cubic root of 229188864 is about 611.9714626362.

The spelling of 229188864 in words is "two hundred twenty-nine million, one hundred eighty-eight thousand, eight hundred sixty-four".