Search a number
-
+
2287708900 = 225247832
BaseRepresentation
bin1000100001011011…
…1010101011100100
312220102201122122021
42020112322223210
514141123141100
61015001312524
7110456130151
oct21026725344
95812648567
102287708900
11a74396614
1253a195744
132a5c60809
14179b8d228
15d5c94a1a
hex885baae4

2287708900 has 27 divisors (see below), whose sum is σ = 4965366441. Its totient is φ = 914892240.

The previous prime is 2287708873. The next prime is 2287708901. The reversal of 2287708900 is 98077822.

The square root of 2287708900 is 47830.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 823575204 + 1464133696 = 28698^2 + 38264^2 .

It is a super-2 number, since 2×22877089002 = 10467224022278420000, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2287708901) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 475909 + ... + 480691.

Almost surely, 22287708900 is an apocalyptic number.

2287708900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2287708900 is the 47830-th square number.

It is an amenable number.

2287708900 is an abundant number, since it is smaller than the sum of its proper divisors (2677657541).

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

2287708900 is an frugal number, since it uses more digits than its factorization.

2287708900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9580 (or 4790 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 43.

The cubic root of 2287708900 is about 1317.6505690347.

Multiplying 2287708900 by its product of nonzero digits (112896), we get a square (258273183974400 = 160708802).

The spelling of 2287708900 in words is "two billion, two hundred eighty-seven million, seven hundred eight thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 4783 9566 19132 23915 47830 95660 119575 239150 478300 22877089 45754178 91508356 114385445 228770890 457541780 571927225 1143854450 2287708900