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2301301220 = 225172398149
BaseRepresentation
bin1000100100101011…
…0001000111100100
312221101022012210112
42021022301013210
514203113114340
61020204512152
7111012511001
oct21112610744
95841265715
102301301220
11a8102a739
1254284b658
132a8a0c4ca
1417b8ca8a8
15d707c065
hex892b11e4

2301301220 has 36 divisors (see below), whose sum is σ = 5133746100. Its totient is φ = 866370048.

The previous prime is 2301301217. The next prime is 2301301231. The reversal of 2301301220 is 221031032.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 18181696 + 2283119524 = 4264^2 + 47782^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2301301195 and 2301301204.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 193295 + ... + 204854.

Almost surely, 22301301220 is an apocalyptic number.

2301301220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2301301220 is an abundant number, since it is smaller than the sum of its proper divisors (2832444880).

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

2301301220 is a wasteful number, since it uses less digits than its factorization.

2301301220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398192 (or 398173 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 2301301220 is about 47971.8794712069. The cubic root of 2301301220 is about 1320.2550050647.

Adding to 2301301220 its reverse (221031032), we get a palindrome (2522332252).

The spelling of 2301301220 in words is "two billion, three hundred one million, three hundred one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 289 340 578 1156 1445 2890 5780 398149 796298 1592596 1990745 3981490 6768533 7962980 13537066 27074132 33842665 67685330 115065061 135370660 230130122 460260244 575325305 1150650610 2301301220