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228144276 = 22342924281
BaseRepresentation
bin11011001100100…
…11010010010100
3120220021221010000
431212103102110
5431401104101
634345531300
75440123443
oct1546232224
9526257100
10228144276
11107866198
12644a3b30
133835c719
142242ad5a
1515068486
hexd993494

228144276 has 60 divisors (see below), whose sum is σ = 617005620. Its totient is φ = 73422720.

The previous prime is 228144173. The next prime is 228144281. The reversal of 228144276 is 672441822.

228144276 is a `hidden beast` number, since 228 + 1 + 4 + 427 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 178863876 + 49280400 = 13374^2 + 7020^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 228144276.

It is a congruent number.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 2745 + ... + 21536.

It is an arithmetic number, because the mean of its divisors is an integer number (10283427).

Almost surely, 2228144276 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 228144276, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308502810).

228144276 is an abundant number, since it is smaller than the sum of its proper divisors (388861344).

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

228144276 is a wasteful number, since it uses less digits than its factorization.

228144276 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24326 (or 24315 counting only the distinct ones).

The product of its digits is 43008, while the sum is 36.

The square root of 228144276 is about 15104.4455707583. The cubic root of 228144276 is about 611.0403067083.

The spelling of 228144276 in words is "two hundred twenty-eight million, one hundred forty-four thousand, two hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 18 27 29 36 54 58 81 87 108 116 162 174 261 324 348 522 783 1044 1566 2349 3132 4698 9396 24281 48562 72843 97124 145686 218529 291372 437058 655587 704149 874116 1311174 1408298 1966761 2112447 2622348 2816596 3933522 4224894 6337341 7867044 8449788 12674682 19012023 25349364 38024046 57036069 76048092 114072138 228144276