Search a number
-
+
2212020401 is a prime number
BaseRepresentation
bin1000001111011000…
…1100000010110001
312201011022021112112
42003312030002301
514012234123101
61003255135105
7105546602033
oct20366140261
95634267475
102212020401
11a3569a738
12518974495
1329337ca16
1416dac9c53
15ce2e36bb
hex83d8c0b1

2212020401 has 2 divisors, whose sum is σ = 2212020402. Its totient is φ = 2212020400.

The previous prime is 2212020383. The next prime is 2212020403. The reversal of 2212020401 is 1040202122.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2116000000 + 96020401 = 46000^2 + 9799^2 .

It is a cyclic number.

It is not a de Polignac number, because 2212020401 - 210 = 2212019377 is a prime.

Together with 2212020403, 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 (2212020403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1106010200 + 1106010201.

It is an arithmetic number, because the mean of its divisors is an integer number (1106010201).

Almost surely, 22212020401 is an apocalyptic number.

It is an amenable number.

2212020401 is a deficient number, since it is larger than the sum of its proper divisors (1).

2212020401 is an equidigital number, since it uses as much as digits as its factorization.

2212020401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 2212020401 is about 47032.1209494107. The cubic root of 2212020401 is about 1302.9558777205.

Adding to 2212020401 its reverse (1040202122), we get a palindrome (3252222523).

The spelling of 2212020401 in words is "two billion, two hundred twelve million, twenty thousand, four hundred one".