Search a number
-
+
2206315260 = 223453143933
BaseRepresentation
bin1000001110000001…
…1011001011111100
312200202120102120000
42003200123023330
514004304042020
61002532554300
7105450241002
oct20340331374
95622512500
102206315260
11a32453346
12516a82990
13292132cb6
1416d042a72
15cda68090
hex8381b2fc

2206315260 has 120 divisors (see below), whose sum is σ = 7144722816. Its totient is φ = 569358720.

The previous prime is 2206315259. The next prime is 2206315271. The reversal of 2206315260 is 625136022.

2206315260 is a `hidden beast` number, since 2 + 2 + 0 + 631 + 5 + 26 + 0 = 666.

It is a super-3 number, since 3×22063152603 (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 28254 + ... + 72186.

Almost surely, 22206315260 is an apocalyptic number.

2206315260 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2206315260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3572361408).

2206315260 is an abundant number, since it is smaller than the sum of its proper divisors (4938407556).

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

2206315260 is a wasteful number, since it uses less digits than its factorization.

2206315260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43985 (or 43974 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 2206315260 is about 46971.4302528675. The cubic root of 2206315260 is about 1301.8347387348.

The spelling of 2206315260 in words is "two billion, two hundred six million, three hundred fifteen thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 31 36 45 54 60 62 81 90 93 108 124 135 155 162 180 186 270 279 310 324 372 405 465 540 558 620 810 837 930 1116 1395 1620 1674 1860 2511 2790 3348 4185 5022 5580 8370 10044 12555 16740 25110 43933 50220 87866 131799 175732 219665 263598 395397 439330 527196 658995 790794 878660 1186191 1317990 1361923 1581588 1976985 2372382 2635980 2723846 3558573 3953970 4085769 4744764 5447692 5930955 6809615 7117146 7907940 8171538 11861910 12257307 13619230 14234292 16343076 17792865 20428845 23723820 24514614 27238460 35585730 36771921 40857690 49029228 61286535 71171460 73543842 81715380 110315763 122573070 147087684 183859605 220631526 245146140 367719210 441263052 551578815 735438420 1103157630 2206315260