Search a number
-
+
226628993058 = 2313103108725951
BaseRepresentation
bin1101001100010000100…
…1000000000000100010
3210122222011102200200120
43103010021000000202
512203114010234213
6252040101501110
722242035441166
oct3230411000042
9718864380616
10226628993058
1188127181886
1237b09711796
13184a919ccc0
14ad7c948ca6
155d66171423
hex34c4240022

226628993058 has 64 divisors (see below), whose sum is σ = 493335478272. Its totient is φ = 68988801600.

The previous prime is 226628993051. The next prime is 226628993069. The reversal of 226628993058 is 850399826622.

It is a super-3 number, since 3×2266289930583 (a number of 35 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 226628992992 and 226628993010.

It is not an unprimeable number, because it can be changed into a prime (226628993051) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8719983 + ... + 8745933.

It is an arithmetic number, because the mean of its divisors is an integer number (7708366848).

Almost surely, 2226628993058 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 226628993058, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246667739136).

226628993058 is an abundant number, since it is smaller than the sum of its proper divisors (266706485214).

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

226628993058 is a wasteful number, since it uses less digits than its factorization.

226628993058 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27159.

The product of its (nonzero) digits is 22394880, while the sum is 60.

The spelling of 226628993058 in words is "two hundred twenty-six billion, six hundred twenty-eight million, nine hundred ninety-three thousand, fifty-eight".

Divisors: 1 2 3 6 13 26 39 78 103 206 309 618 1087 1339 2174 2678 3261 4017 6522 8034 14131 25951 28262 42393 51902 77853 84786 111961 155706 223922 335883 337363 671766 674726 1012089 1455493 2024178 2672953 2910986 4366479 5345906 8018859 8732958 16037718 28208737 34748389 56417474 69496778 84626211 104245167 169252422 208490334 366713581 733427162 1100140743 2200281486 2905499911 5810999822 8716499733 17432999466 37771498843 75542997686 113314496529 226628993058