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228144728 = 23723177131
BaseRepresentation
bin11011001100100…
…11011001011000
3120220021221201202
431212103121120
5431401112403
634345533332
75440124660
oct1546233130
9526257652
10228144728
11107866569
12644a4248
133835c9a6
142242b1a0
1515068688
hexd993658

228144728 has 32 divisors (see below), whose sum is σ = 510140160. Its totient is φ = 93524640.

The previous prime is 228144727. The next prime is 228144767. The reversal of 228144728 is 827441822.

228144728 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (38) coincides with the sum of the digits of its prime factors.

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 = 228144691 and 228144700.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (228144727) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 87278 + ... + 89853.

It is an arithmetic number, because the mean of its divisors is an integer number (15941880).

Almost surely, 2228144728 is an apocalyptic number.

228144728 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

228144728 is an abundant number, since it is smaller than the sum of its proper divisors (281995432).

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

228144728 is a wasteful number, since it uses less digits than its factorization.

228144728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177167 (or 177163 counting only the distinct ones).

The product of its digits is 57344, while the sum is 38.

The square root of 228144728 is about 15104.4605332332. The cubic root of 228144728 is about 611.0407102396.

The spelling of 228144728 in words is "two hundred twenty-eight million, one hundred forty-four thousand, seven hundred twenty-eight".

Divisors: 1 2 4 7 8 14 23 28 46 56 92 161 184 322 644 1288 177131 354262 708524 1239917 1417048 2479834 4074013 4959668 8148026 9919336 16296052 28518091 32592104 57036182 114072364 228144728