Search a number
-
+
2199242240 = 2951366083
BaseRepresentation
bin1000001100010101…
…1100011000000000
312200021021002012022
42003011130120000
514001001222430
61002121221012
7105333151646
oct20305343000
95607232168
102199242240
11a29462278
12514631768
13290827790
1416c121196
15cd11c4e5
hex8315c600

2199242240 has 80 divisors (see below), whose sum is σ = 5678730288. Its totient is φ = 812015616.

The previous prime is 2199242233. The next prime is 2199242251. The reversal of 2199242240 is 422429912.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 2199242240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 239 + ... + 66321.

Almost surely, 22199242240 is an apocalyptic number.

2199242240 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 2199242240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2839365144).

2199242240 is an abundant number, since it is smaller than the sum of its proper divisors (3479488048).

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

2199242240 is an equidigital number, since it uses as much as digits as its factorization.

2199242240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66119 (or 66103 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 35.

The square root of 2199242240 is about 46896.0791538056. The cubic root of 2199242240 is about 1300.4421060411.

The spelling of 2199242240 in words is "two billion, one hundred ninety-nine million, two hundred forty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 128 130 160 208 256 260 320 416 512 520 640 832 1040 1280 1664 2080 2560 3328 4160 6656 8320 16640 33280 66083 132166 264332 330415 528664 660830 859079 1057328 1321660 1718158 2114656 2643320 3436316 4229312 4295395 5286640 6872632 8458624 8590790 10573280 13745264 16917248 17181580 21146560 27490528 33834496 34363160 42293120 54981056 68726320 84586240 109962112 137452640 169172480 219924224 274905280 439848448 549810560 1099621120 2199242240