Search a number
-
+
2182078368 = 25327576661
BaseRepresentation
bin1000001000001111…
…1101111110100000
312122001222001210100
42002003331332200
513432103001433
61000305302400
7105034234341
oct20203757640
95561861710
102182078368
11a1a7a9858
1250a934a00
1328a0c8242
14169b340c8
15cb87bb13
hex820fdfa0

2182078368 has 36 divisors (see below), whose sum is σ = 6205286178. Its totient is φ = 727359360.

The previous prime is 2182078363. The next prime is 2182078403. The reversal of 2182078368 is 8638702812.

2182078368 is a `hidden beast` number, since 218 + 2 + 0 + 78 + 368 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1185287184 + 996791184 = 34428^2 + 31572^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×21820783682 = 9522932008187086848, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2182078363) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3788043 + ... + 3788618.

Almost surely, 22182078368 is an apocalyptic number.

It is an amenable number.

2182078368 is an abundant number, since it is smaller than the sum of its proper divisors (4023207810).

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

2182078368 is a wasteful number, since it uses less digits than its factorization.

2182078368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7576677 (or 7576666 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The square root of 2182078368 is about 46712.7216933460. The cubic root of 2182078368 is about 1297.0501890072.

The spelling of 2182078368 in words is "two billion, one hundred eighty-two million, seventy-eight thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 7576661 15153322 22729983 30306644 45459966 60613288 68189949 90919932 121226576 136379898 181839864 242453152 272759796 363679728 545519592 727359456 1091039184 2182078368