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2343220220 = 22511192324373
BaseRepresentation
bin1000101110101010…
…1011001111111100
320001022011220212002
42023222223033330
514244331021340
61024303201432
7112032020555
oct21352531774
96038156762
102343220220
11aa2761040
125548a6278
132b45c8653
141832bd32c
15daaac715
hex8baab3fc

2343220220 has 96 divisors (see below), whose sum is σ = 5896558080. Its totient is φ = 772104960.

The previous prime is 2343220207. The next prime is 2343220237. The reversal of 2343220220 is 220223432.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 2343220192 and 2343220201.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 83954 + ... + 108326.

It is an arithmetic number, because the mean of its divisors is an integer number (61422480).

Almost surely, 22343220220 is an apocalyptic number.

2343220220 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 2343220220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2948279040).

2343220220 is an abundant number, since it is smaller than the sum of its proper divisors (3553337860).

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

2343220220 is a wasteful number, since it uses less digits than its factorization.

2343220220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24435 (or 24433 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

The square root of 2343220220 is about 48406.8199740491. The cubic root of 2343220220 is about 1328.2231194462.

Adding to 2343220220 its reverse (220223432), we get a palindrome (2563443652).

The spelling of 2343220220 in words is "two billion, three hundred forty-three million, two hundred twenty thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 19 20 22 23 38 44 46 55 76 92 95 110 115 190 209 220 230 253 380 418 437 460 506 836 874 1012 1045 1265 1748 2090 2185 2530 4180 4370 4807 5060 8740 9614 19228 24035 24373 48070 48746 96140 97492 121865 243730 268103 463087 487460 536206 560579 926174 1072412 1121158 1340515 1852348 2242316 2315435 2681030 2802895 4630870 5093957 5362060 5605790 6166369 9261740 10187914 10651001 11211580 12332738 20375828 21302002 24665476 25469785 30831845 42604004 50939570 53255005 61663690 101879140 106510010 117161011 123327380 213020020 234322022 468644044 585805055 1171610110 2343220220