228733344 has 144 divisors (see below), whose sum is σ = 775861632. Its totient is φ = 62498304.

The previous prime is 228733333. The next prime is 228733363. The reversal of 228733344 is 443337822.

228733344 is a `hidden beast` number, since 2 + 287 + 33 + 344 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a hoax number, since the sum of its digits (36) 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 (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 228733299 and 228733308.

It is a congruent number.

It is an unprimeable number.

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, 43902 + ... + 48834.

It is an arithmetic number, because the mean of its divisors is an integer number (5387928).

Almost surely, 2^228733344 is an apocalyptic number.

228733344 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 228733344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387930816).

228733344 is an abundant number, since it is smaller than the sum of its proper divisors (547128288).

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

228733344 is a wasteful number, since it uses less digits than its factorization.

228733344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4979 (or 4968 counting only the distinct ones).

The product of its digits is 96768, while the sum is 36.

The square root of 228733344 is about 15123.9328218556. The cubic root of 228733344 is about 611.5657562901.

The spelling of 228733344 in words is "two hundred twenty-eight million, seven hundred thirty-three thousand, three hundred forty-four".