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2247329681 is a prime number
BaseRepresentation
bin1000010111110011…
…1000011110010001
312210121202011202122
42011330320132101
514100304022211
61011000024025
7106455662402
oct20574703621
95717664678
102247329681
11a53617063
12528762015
1329a79349c
1417467b9a9
15d246a6db
hex85f38791

2247329681 has 2 divisors, whose sum is σ = 2247329682. Its totient is φ = 2247329680.

The previous prime is 2247329677. The next prime is 2247329687. The reversal of 2247329681 is 1869237422.

2247329681 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., 2089952656 + 157377025 = 45716^2 + 12545^2 .

It is a cyclic number.

It is not a de Polignac number, because 2247329681 - 22 = 2247329677 is a prime.

It is a super-2 number, since 2×22473296812 = 10100981390207123522, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2247329687) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1123664840 + 1123664841.

It is an arithmetic number, because the mean of its divisors is an integer number (1123664841).

Almost surely, 22247329681 is an apocalyptic number.

It is an amenable number.

2247329681 is a deficient number, since it is larger than the sum of its proper divisors (1).

2247329681 is an equidigital number, since it uses as much as digits as its factorization.

2247329681 is an evil number, because the sum of its binary digits is even.

The product of its digits is 290304, while the sum is 44.

The square root of 2247329681 is about 47406.0089123731. The cubic root of 2247329681 is about 1309.8521055578.

The spelling of 2247329681 in words is "two billion, two hundred forty-seven million, three hundred twenty-nine thousand, six hundred eighty-one".