[go: up one dir, main page]

Search a number
-
+
2300320022 = 2711132349957
BaseRepresentation
bin1000100100011100…
…0001100100010110
312221022110100211212
42021013001210112
514202340220042
61020131501422
7111001253240
oct21107014426
95838410755
102300320022
11a8051a530
12542457872
132a8757a10
1417b713090
15d6e36482
hex891c1916

2300320022 has 64 divisors (see below), whose sum is σ = 4834335744. Its totient is φ = 791303040.

The previous prime is 2300320019. The next prime is 2300320027. The reversal of 2300320022 is 2200230032.

It is a super-2 number, since 2×23003200222 = 10582944407228160968, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 2300319979 and 2300320006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2300320027) 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, 21068 + ... + 71024.

It is an arithmetic number, because the mean of its divisors is an integer number (75536496).

Almost surely, 22300320022 is an apocalyptic number.

2300320022 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

2300320022 is an abundant number, since it is smaller than the sum of its proper divisors (2534015722).

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

2300320022 is a wasteful number, since it uses less digits than its factorization.

2300320022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50013.

The product of its (nonzero) digits is 144, while the sum is 14.

The square root of 2300320022 is about 47961.6515770673. The cubic root of 2300320022 is about 1320.0673408406.

Adding to 2300320022 its reverse (2200230032), we get a palindrome (4500550054).

The spelling of 2300320022 in words is "two billion, three hundred million, three hundred twenty thousand, twenty-two".

Divisors: 1 2 7 11 13 14 22 23 26 46 77 91 143 154 161 182 253 286 299 322 506 598 1001 1771 2002 2093 3289 3542 4186 6578 23023 46046 49957 99914 349699 549527 649441 699398 1099054 1149011 1298882 2298022 3846689 4546087 7143851 7693378 8043077 9092174 12639121 14287702 14937143 16086154 25278242 29874286 50006957 88473847 100013914 104560001 164308573 176947694 209120002 328617146 1150160011 2300320022