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228134628 = 223217372769
BaseRepresentation
bin11011001100100…
…00111011100100
3120220021102212200
431212100323210
5431400302003
634345414500
75440053351
oct1546207344
9526242780
10228134628
11107859a17
126449a430
1338358207
1422427628
15150656a3
hexd990ee4

228134628 has 36 divisors (see below), whose sum is σ = 610597260. Its totient is φ = 71571456.

The previous prime is 228134623. The next prime is 228134629. The reversal of 228134628 is 826431822.

228134628 is a `hidden beast` number, since 2 + 28 + 1 + 3 + 4 + 628 = 666.

228134628 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 2 ways, for example, as 188293284 + 39841344 = 13722^2 + 6312^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a junction number, because it is equal to n+sod(n) for n = 228134592 and 228134601.

It is not an unprimeable number, because it can be changed into a prime (228134623) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 185773 + ... + 186996.

It is an arithmetic number, because the mean of its divisors is an integer number (16961035).

Almost surely, 2228134628 is an apocalyptic number.

It is an amenable number.

228134628 is an abundant number, since it is smaller than the sum of its proper divisors (382462632).

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

228134628 is a wasteful number, since it uses less digits than its factorization.

228134628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 372796 (or 372791 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 228134628 is about 15104.1261912101. The cubic root of 228134628 is about 611.0316931531.

The spelling of 228134628 in words is "two hundred twenty-eight million, one hundred thirty-four thousand, six hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 612 372769 745538 1118307 1491076 2236614 3354921 4473228 6337073 6709842 12674146 13419684 19011219 25348292 38022438 57033657 76044876 114067314 228134628