Search a number
-
+
2300201332 = 221113191131873
BaseRepresentation
bin1000100100011010…
…0100100101110100
312221022020100000221
42021012210211310
514202322420312
61020125144124
7111000250222
oct21106444564
95838210027
102300201332
11a80449340
125423bb044
132a87159a0
1417b6c1b12
15d6e11207
hex891a4974

2300201332 has 96 divisors (see below), whose sum is σ = 5024718720. Its totient is φ = 905748480.

The previous prime is 2300201287. The next prime is 2300201417. The reversal of 2300201332 is 2331020032.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 1227148 + ... + 1229020.

It is an arithmetic number, because the mean of its divisors is an integer number (52340820).

Almost surely, 22300201332 is an apocalyptic number.

2300201332 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2300201332 is an abundant number, since it is smaller than the sum of its proper divisors (2724517388).

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

2300201332 is a wasteful number, since it uses less digits than its factorization.

2300201332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2033 (or 2031 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

The square root of 2300201332 is about 47960.4142183947. The cubic root of 2300201332 is about 1320.0446365377.

Adding to 2300201332 its reverse (2331020032), we get a palindrome (4631221364).

The spelling of 2300201332 in words is "two billion, three hundred million, two hundred one thousand, three hundred thirty-two".

Divisors: 1 2 4 11 13 19 22 26 38 44 52 76 113 143 209 226 247 286 418 452 494 572 836 988 1243 1469 1873 2147 2486 2717 2938 3746 4294 4972 5434 5876 7492 8588 10868 16159 20603 23617 24349 27911 32318 35587 41206 47234 48698 55822 64636 71174 82412 94468 97396 111644 142348 211649 267839 307021 391457 423298 462631 535678 614042 782914 846596 925262 1071356 1228084 1565828 1850524 2328139 2751437 4021331 4656278 5088941 5502874 8042662 9312556 10177882 11005748 16085324 20355764 30265807 44234641 52277303 60531614 88469282 104554606 121063228 176938564 209109212 575050333 1150100666 2300201332