Search a number
-
+
2303312022 = 23211411511879
BaseRepresentation
bin1000100101001001…
…1100000010010110
312221112002101002200
42021102130002112
514204121441042
61020315545330
7111035554254
oct21122340226
95845071080
102303312022
11a82183460
1254345b246
132a926482b
1417bc915d4
15d7327c4c
hex8949c096

2303312022 has 96 divisors (see below), whose sum is σ = 5616898560. Its totient is φ = 676080000.

The previous prime is 2303312021. The next prime is 2303312029. The reversal of 2303312022 is 2202133032.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2303311986 and 2303312004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2303312021) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1224879 + ... + 1226757.

It is an arithmetic number, because the mean of its divisors is an integer number (58509360).

Almost surely, 22303312022 is an apocalyptic number.

2303312022 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2303312022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2808449280).

2303312022 is an abundant number, since it is smaller than the sum of its proper divisors (3313586538).

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

2303312022 is a wasteful number, since it uses less digits than its factorization.

2303312022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2090 (or 2087 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 2303312022 is about 47992.8330274428. The cubic root of 2303312022 is about 1320.6394250527.

Adding to 2303312022 its reverse (2202133032), we get a palindrome (4505445054).

The spelling of 2303312022 in words is "two billion, three hundred three million, three hundred twelve thousand, twenty-two".

Divisors: 1 2 3 6 9 11 18 22 33 41 66 82 99 123 151 198 246 302 369 451 453 738 902 906 1353 1359 1661 1879 2706 2718 3322 3758 4059 4983 5637 6191 8118 9966 11274 12382 14949 16911 18573 20669 29898 33822 37146 41338 55719 62007 68101 77039 111438 124014 136202 154078 186021 204303 231117 283729 372042 408606 462234 567458 612909 693351 847429 851187 1225818 1386702 1694858 1702374 2542287 2553561 3121019 5084574 5107122 6242038 7626861 9363057 11632889 15253722 18726114 23265778 28089171 34898667 56178342 69797334 104696001 127961779 209392002 255923558 383885337 767770674 1151656011 2303312022