Search a number
-
+
2292999200 = 255216932
BaseRepresentation
bin1000100010101100…
…0110010000100000
312220210200102120022
42020223012100200
514144001433300
61015310533012
7110552112602
oct21053062040
95823612508
102292999200
11a7737a268
1253bb07168
132a709377b
1417a769172
15d648c285
hex88ac6420

2292999200 has 54 divisors (see below), whose sum is σ = 5601092679. Its totient is φ = 916657920.

The previous prime is 2292999179. The next prime is 2292999217. The reversal of 2292999200 is 29992922.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 572740624 + 1720258576 = 23932^2 + 41476^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=33860.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1353554 + ... + 1355246.

Almost surely, 22292999200 is an apocalyptic number.

2292999200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2292999200

2292999200 is an abundant number, since it is smaller than the sum of its proper divisors (3308093479).

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

2292999200 is an frugal number, since it uses more digits than its factorization.

2292999200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3406 (or 1700 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 44.

The square root of 2292999200 is about 47885.2712219530. The cubic root of 2292999200 is about 1318.6654709489.

The spelling of 2292999200 in words is "two billion, two hundred ninety-two million, nine hundred ninety-nine thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 800 1693 3386 6772 8465 13544 16930 27088 33860 42325 54176 67720 84650 135440 169300 270880 338600 677200 1354400 2866249 5732498 11464996 14331245 22929992 28662490 45859984 57324980 71656225 91719968 114649960 143312450 229299920 286624900 458599840 573249800 1146499600 2292999200