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2300242023 = 331077091123
BaseRepresentation
bin1000100100011010…
…1110100001100111
312221022022101212000
42021012232201213
514202330221043
61020130100343
7111000506652
oct21106564147
95838271760
102300242023
11a80476972
1254241a6b3
132a872b371
1417b6d2899
15d6e1d2d3
hex891ae867

2300242023 has 32 divisors (see below), whose sum is σ = 3447532800. Its totient is φ = 1515669408.

The previous prime is 2300241959. The next prime is 2300242033. The reversal of 2300242023 is 3202420032.

It is not a de Polignac number, because 2300242023 - 26 = 2300241959 is a prime.

It is a super-2 number, since 2×23002420232 = 10582226728750265058, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2300241987 and 2300242005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2300242033) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2047740 + ... + 2048862.

It is an arithmetic number, because the mean of its divisors is an integer number (107735400).

Almost surely, 22300242023 is an apocalyptic number.

2300242023 is a deficient number, since it is larger than the sum of its proper divisors (1147290777).

2300242023 is a wasteful number, since it uses less digits than its factorization.

2300242023 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1948 (or 1942 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 2300242023 is about 47960.8384309532. The cubic root of 2300242023 is about 1320.0524204389.

Adding to 2300242023 its reverse (3202420032), we get a palindrome (5502662055).

It can be divided in two parts, 23002 and 42023, that added together give a square (65025 = 2552).

The spelling of 2300242023 in words is "two billion, three hundred million, two hundred forty-two thousand, twenty-three".

Divisors: 1 3 9 27 107 321 709 963 1123 2127 2889 3369 6381 10107 19143 30321 75863 120161 227589 360483 682767 796207 1081449 2048301 2388621 3244347 7165863 21497589 85194149 255582447 766747341 2300242023