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2247264829 is a prime number
BaseRepresentation
bin1000010111110010…
…1000101000111101
312210121121212210201
42011330220220331
514100244433304
61010554403501
7106455302335
oct20574505075
95717555721
102247264829
11a53582367
12528730591
1329a76cb04
141746620c5
15d24563a4
hex85f28a3d

2247264829 has 2 divisors, whose sum is σ = 2247264830. Its totient is φ = 2247264828.

The previous prime is 2247264791. The next prime is 2247264911. The reversal of 2247264829 is 9284627422.

2247264829 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1372702500 + 874562329 = 37050^2 + 29573^2 .

It is a cyclic number.

It is not a de Polignac number, because 2247264829 - 225 = 2213710397 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2247064829) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1123632414 + 1123632415.

It is an arithmetic number, because the mean of its divisors is an integer number (1123632415).

Almost surely, 22247264829 is an apocalyptic number.

It is an amenable number.

2247264829 is a deficient number, since it is larger than the sum of its proper divisors (1).

2247264829 is an equidigital number, since it uses as much as digits as its factorization.

2247264829 is an evil number, because the sum of its binary digits is even.

The product of its digits is 774144, while the sum is 46.

The square root of 2247264829 is about 47405.3249013231. The cubic root of 2247264829 is about 1309.8395058123.

The spelling of 2247264829 in words is "two billion, two hundred forty-seven million, two hundred sixty-four thousand, eight hundred twenty-nine".