Search a number
-
+
2199874961 is a prime number
BaseRepresentation
bin1000001100011111…
…0110110110010001
312200022110020010102
42003013312312101
514001131444321
61002142542145
7105341425424
oct20307666621
95608406112
102199874961
11a29854689
12514897955
132909b977b
1416c2479bb
15cd1e4c0b
hex831f6d91

2199874961 has 2 divisors, whose sum is σ = 2199874962. Its totient is φ = 2199874960.

The previous prime is 2199874921. The next prime is 2199874973. The reversal of 2199874961 is 1694789912.

2199874961 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1712304400 + 487570561 = 41380^2 + 22081^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2199874961 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2199874897 and 2199874906.

It is not a weakly prime, because it can be changed into another prime (2199874921) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1099937480 + 1099937481.

It is an arithmetic number, because the mean of its divisors is an integer number (1099937481).

Almost surely, 22199874961 is an apocalyptic number.

It is an amenable number.

2199874961 is a deficient number, since it is larger than the sum of its proper divisors (1).

2199874961 is an equidigital number, since it uses as much as digits as its factorization.

2199874961 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1959552, while the sum is 56.

The square root of 2199874961 is about 46902.8246590757. The cubic root of 2199874961 is about 1300.5668062855.

The spelling of 2199874961 in words is "two billion, one hundred ninety-nine million, eight hundred seventy-four thousand, nine hundred sixty-one".