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2300144022 = 23211106110949
BaseRepresentation
bin1000100100011001…
…0110100110010110
312221022010102102100
42021012112212112
514202314102042
61020124022530
7110666621151
oct21106264626
95838112370
102300144022
11a8040a280
12542391a46
132a86c5887
1417b6a8c98
15d6dee24c
hex89196996

2300144022 has 48 divisors (see below), whose sum is σ = 5442325200. Its totient is φ = 696292800.

The previous prime is 2300143999. The next prime is 2300144027. The reversal of 2300144022 is 2204410032.

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 = 2300143986 and 2300144004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2300144027) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 204604 + ... + 215552.

It is an arithmetic number, because the mean of its divisors is an integer number (113381775).

Almost surely, 22300144022 is an apocalyptic number.

2300144022 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

2300144022 is an abundant number, since it is smaller than the sum of its proper divisors (3142181178).

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

2300144022 is a wasteful number, since it uses less digits than its factorization.

2300144022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12029 (or 12026 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 2300144022 is about 47959.8167427691. The cubic root of 2300144022 is about 1320.0336733834.

Adding to 2300144022 its reverse (2204410032), we get a palindrome (4504554054).

The spelling of 2300144022 in words is "two billion, three hundred million, one hundred forty-four thousand, twenty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 1061 2122 3183 6366 9549 10949 11671 19098 21898 23342 32847 35013 65694 70026 98541 105039 120439 197082 210078 240878 361317 722634 1083951 2167902 11616889 23233778 34850667 69701334 104552001 127785779 209104002 255571558 383357337 766714674 1150072011 2300144022