Search a number
-
+
2149874208 = 25327464841
BaseRepresentation
bin1000000000100100…
…0111101000100000
312112211100220222200
42000021013220200
513400331433313
6553155133200
7104163425556
oct20011075040
95484326880
102149874208
11a03603349
124bbba4200
13283530c21
1416574dbd6
15c8b19b73
hex80247a20

2149874208 has 36 divisors (see below), whose sum is σ = 6113705598. Its totient is φ = 716624640.

The previous prime is 2149874203. The next prime is 2149874227. The reversal of 2149874208 is 8024789412.

2149874208 is a `hidden beast` number, since 2 + 149 + 87 + 420 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2089221264 + 60652944 = 45708^2 + 7788^2 .

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

It is a super-2 number, since 2×21498742082 = 9243918220447254528, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2149874203) 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, 3732133 + ... + 3732708.

Almost surely, 22149874208 is an apocalyptic number.

It is an amenable number.

2149874208 is an abundant number, since it is smaller than the sum of its proper divisors (3963831390).

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

2149874208 is a wasteful number, since it uses less digits than its factorization.

2149874208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7464857 (or 7464846 counting only the distinct ones).

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

The square root of 2149874208 is about 46366.7360076165. The cubic root of 2149874208 is about 1290.6377088552.

The spelling of 2149874208 in words is "two billion, one hundred forty-nine million, eight hundred seventy-four thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 7464841 14929682 22394523 29859364 44789046 59718728 67183569 89578092 119437456 134367138 179156184 238874912 268734276 358312368 537468552 716624736 1074937104 2149874208