Search a number
-
+
2247274301 is a prime number
BaseRepresentation
bin1000010111110010…
…1010111100111101
312210121122100210112
42011330222330331
514100300234201
61010554515405
7106455342056
oct20574527475
95717570715
102247274301
11a53589498
12528735b65
1329a77420c
1417466572d
15d24590bb
hex85f2af3d

2247274301 has 2 divisors, whose sum is σ = 2247274302. Its totient is φ = 2247274300.

The previous prime is 2247274277. The next prime is 2247274307. The reversal of 2247274301 is 1034727422.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1292402500 + 954871801 = 35950^2 + 30901^2 .

It is a cyclic number.

It is not a de Polignac number, because 2247274301 - 210 = 2247273277 is a prime.

It is a super-4 number, since 4×22472743014 (a number of 39 digits) contains 4444 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2247274307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1123637150 + 1123637151.

It is an arithmetic number, because the mean of its divisors is an integer number (1123637151).

Almost surely, 22247274301 is an apocalyptic number.

It is an amenable number.

2247274301 is a deficient number, since it is larger than the sum of its proper divisors (1).

2247274301 is an equidigital number, since it uses as much as digits as its factorization.

2247274301 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18816, while the sum is 32.

The square root of 2247274301 is about 47405.4248056064. The cubic root of 2247274301 is about 1309.8413460913.

The spelling of 2247274301 in words is "two billion, two hundred forty-seven million, two hundred seventy-four thousand, three hundred one".