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2183325820 = 2251313960413
BaseRepresentation
bin1000001000100010…
…1110100001111100
312122011022102222021
42002020232201330
513432412411240
61000352125524
7105050651254
oct20210564174
95564272867
102183325820
11a20481005
1250b2368a4
1328a443c90
14169d7a964
15cba2654a
hex8222e87c

2183325820 has 48 divisors (see below), whose sum is σ = 4973280480. Its totient is φ = 800338176.

The previous prime is 2183325803. The next prime is 2183325821. The reversal of 2183325820 is 285233812.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2183325821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5934 + ... + 66346.

It is an arithmetic number, because the mean of its divisors is an integer number (103610010).

Almost surely, 22183325820 is an apocalyptic number.

2183325820 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 2183325820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2486640240).

2183325820 is an abundant number, since it is smaller than the sum of its proper divisors (2789954660).

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

2183325820 is a wasteful number, since it uses less digits than its factorization.

2183325820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60574 (or 60572 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 34.

The square root of 2183325820 is about 46726.0721653340. The cubic root of 2183325820 is about 1297.2973080911.

The spelling of 2183325820 in words is "two billion, one hundred eighty-three million, three hundred twenty-five thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 139 260 278 556 695 1390 1807 2780 3614 7228 9035 18070 36140 60413 120826 241652 302065 604130 785369 1208260 1570738 3141476 3926845 7853690 8397407 15707380 16794814 33589628 41987035 83974070 109166291 167948140 218332582 436665164 545831455 1091662910 2183325820