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2208137201 is a prime number
BaseRepresentation
bin1000001110011101…
…0111111111110001
312200212222222210022
42003213113333301
514010240342301
61003040013225
7105501566534
oct20347277761
95625888708
102208137201
11a33488186
12517601215
1329262037a
1416d398a1b
15cdcc7d1b
hex839d7ff1

2208137201 has 2 divisors, whose sum is σ = 2208137202. Its totient is φ = 2208137200.

The previous prime is 2208137167. The next prime is 2208137203. The reversal of 2208137201 is 1027318022.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1982386576 + 225750625 = 44524^2 + 15025^2 .

It is a cyclic number.

It is not a de Polignac number, because 2208137201 - 218 = 2207875057 is a prime.

It is a super-2 number, since 2×22081372012 = 9751739796880228802, which contains 22 as substring.

Together with 2208137203, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (2208137203) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1104068600 + 1104068601.

It is an arithmetic number, because the mean of its divisors is an integer number (1104068601).

Almost surely, 22208137201 is an apocalyptic number.

It is an amenable number.

2208137201 is a deficient number, since it is larger than the sum of its proper divisors (1).

2208137201 is an equidigital number, since it uses as much as digits as its factorization.

2208137201 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1344, while the sum is 26.

The square root of 2208137201 is about 46990.8203907955. The cubic root of 2208137201 is about 1302.1929851354.

The spelling of 2208137201 in words is "two billion, two hundred eight million, one hundred thirty-seven thousand, two hundred one".