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220760028 = 2232171632213
BaseRepresentation
bin11010010100010…
…00011111011100
3120101101202211100
431022020133130
5423003310103
633523353100
75320300146
oct1512103734
9511352740
10220760028
11103682305
1261b22790
1336975648
1421467c96
15145aa5a3
hexd2887dc

220760028 has 72 divisors (see below), whose sum is σ = 594751248. Its totient is φ = 68802048.

The previous prime is 220760027. The next prime is 220760047. The reversal of 220760028 is 820067022.

220760028 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 220759983 and 220760010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220760027) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 98650 + ... + 100862.

It is an arithmetic number, because the mean of its divisors is an integer number (8260434).

Almost surely, 2220760028 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 220760028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297375624).

220760028 is an abundant number, since it is smaller than the sum of its proper divisors (373991220).

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

220760028 is a wasteful number, since it uses less digits than its factorization.

220760028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2403 (or 2398 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 220760028 is about 14857.9954233403. The cubic root of 220760028 is about 604.3754481941.

The spelling of 220760028 in words is "two hundred twenty million, seven hundred sixty thousand, twenty-eight".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 163 204 306 326 489 612 652 978 1467 1956 2213 2771 2934 4426 5542 5868 6639 8313 8852 11084 13278 16626 19917 24939 26556 33252 37621 39834 49878 75242 79668 99756 112863 150484 225726 338589 360719 451452 677178 721438 1082157 1354356 1442876 2164314 3246471 4328628 6132223 6492942 12264446 12985884 18396669 24528892 36793338 55190007 73586676 110380014 220760028