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2241820829 is a prime number
BaseRepresentation
bin1000010110011111…
…0111100010011101
312210020101022001002
42011213313202131
514042401231304
61010242000045
7106361106533
oct20547674235
95706338032
102241820829
11a504a4196
12526946025
132995b4c01
14173a46153
15d1c2d31e
hex859f789d

2241820829 has 2 divisors, whose sum is σ = 2241820830. Its totient is φ = 2241820828.

The previous prime is 2241820771. The next prime is 2241820883. The reversal of 2241820829 is 9280281422.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2190052804 + 51768025 = 46798^2 + 7195^2 .

It is a cyclic number.

It is not a de Polignac number, because 2241820829 - 28 = 2241820573 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2241820792 and 2241820801.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2241810829) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1120910414 + 1120910415.

It is an arithmetic number, because the mean of its divisors is an integer number (1120910415).

Almost surely, 22241820829 is an apocalyptic number.

It is an amenable number.

2241820829 is a deficient number, since it is larger than the sum of its proper divisors (1).

2241820829 is an equidigital number, since it uses as much as digits as its factorization.

2241820829 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 36864, while the sum is 38.

The square root of 2241820829 is about 47347.8703744952. The cubic root of 2241820829 is about 1308.7809549858.

The spelling of 2241820829 in words is "two billion, two hundred forty-one million, eight hundred twenty thousand, eight hundred twenty-nine".