228733362 has 128 divisors (see below), whose sum is σ = 628992000. Its totient is φ = 60575040.

The previous prime is 228733333. The next prime is 228733363. The reversal of 228733362 is 263337822.

It is a happy number.

228733362 is a `hidden beast` number, since 228 + 73 + 3 + 362 = 666.

228733362 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (228733363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 145939 + ... + 147497.

It is an arithmetic number, because the mean of its divisors is an integer number (4914000).

Almost surely, 2^228733362 is an apocalyptic number.

228733362 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 228733362, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314496000).

228733362 is an abundant number, since it is smaller than the sum of its proper divisors (400258638).

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

228733362 is a wasteful number, since it uses less digits than its factorization.

228733362 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1613 (or 1607 counting only the distinct ones).

The product of its digits is 72576, while the sum is 36.

The square root of 228733362 is about 15123.9334169389. The cubic root of 228733362 is about 611.5657723323.

The spelling of 228733362 in words is "two hundred twenty-eight million, seven hundred thirty-three thousand, three hundred sixty-two".