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228117036 = 223723711663
BaseRepresentation
bin11011001100011…
…00101000101100
3120220020112202010
431212030220230
5431344221121
634345201220
75436651150
oct1546145054
9526215663
10228117036
11107847784
1264490210
13383501c4
1422421060
1515060376
hexd98ca2c

228117036 has 96 divisors (see below), whose sum is σ = 644087808. Its totient is φ = 61427520.

The previous prime is 228117031. The next prime is 228117037. The reversal of 228117036 is 630711822.

It is a super-2 number, since 2×2281170362 = 104074764226850592, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 228116994 and 228117012.

It is not an unprimeable number, because it can be changed into a prime (228117031) 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 31 ways as a sum of consecutive naturals, for example, 136341 + ... + 138003.

It is an arithmetic number, because the mean of its divisors is an integer number (6709248).

Almost surely, 2228117036 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 228117036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322043904).

228117036 is an abundant number, since it is smaller than the sum of its proper divisors (415970772).

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

228117036 is a wasteful number, since it uses less digits than its factorization.

228117036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1771 (or 1769 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 228117036 is about 15103.5438225603. The cubic root of 228117036 is about 611.0159867170.

Adding to 228117036 its reverse (630711822), we get a palindrome (858828858).

The spelling of 228117036 in words is "two hundred twenty-eight million, one hundred seventeen thousand, thirty-six".

Divisors: 1 2 3 4 6 7 12 14 21 23 28 42 46 69 71 84 92 138 142 161 213 276 284 322 426 483 497 644 852 966 994 1491 1633 1663 1932 1988 2982 3266 3326 4899 4989 5964 6532 6652 9798 9978 11431 11641 19596 19956 22862 23282 34293 34923 38249 45724 46564 68586 69846 76498 114747 118073 137172 139692 152996 229494 236146 267743 354219 458988 472292 535486 708438 803229 826511 1070972 1416876 1606458 1653022 2479533 2715679 3212916 3306044 4959066 5431358 8147037 9918132 10862716 16294074 19009753 32588148 38019506 57029259 76039012 114058518 228117036