228488 has 20 divisors (see below), whose sum is σ = 464115. Its totient is φ = 105456.

The previous prime is 228479. The next prime is 228509. The reversal of 228488 is 884822.

Multipling 228488 by its sum of digits (32), we get a 4-th power (7311616 = 52^{4}).

Multipling 228488 by its product of digits (8192), we get a 4-th power (1871773696 = 208^{4}).

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

228488 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 4 + 228484 = 2^2 + 478^2 .

It is an ABA number since it can be written as A⋅B^{A}, here for A=2, B=338.

It is a super-2 number, since 2×228488^{2} = 104413532288, which contains 22 as substring.

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

It is a Duffinian number.

It is a nialpdrome in base 13.

It is an unprimeable number.

228488 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 4 ways as a sum of consecutive naturals, for example, 17570 + ... + 17582.

228488 is a Friedman number, since it can be written as 8*(8+(8+2)/2)^4, using all its digits and the basic arithmetic operations.

2^{228488} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 228488

228488 is an abundant number, since it is smaller than the sum of its proper divisors (235627).

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

228488 is an frugal number, since it uses more digits than its factorization.

228488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58 (or 15 counting only the distinct ones).

The product of its digits is 8192, while the sum is 32.

The square root of 228488 is about 478.0041840821. The cubic root of 228488 is about 61.1347018807.

The spelling of 228488 in words is "two hundred twenty-eight thousand, four hundred eighty-eight".

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