Search a number
-
+
2202220381 is a prime number
BaseRepresentation
bin1000001101000011…
…0011011101011101
312200110212101102211
42003100303131131
514002232023011
61002305120421
7105400364404
oct20320633535
95613771384
102202220381
11a30106849
12515629111
1329132b1aa
1416c69863b
15cd509b21
hex8343375d

2202220381 has 2 divisors, whose sum is σ = 2202220382. Its totient is φ = 2202220380.

The previous prime is 2202220379. The next prime is 2202220411. The reversal of 2202220381 is 1830222022.

It is a happy number.

2202220381 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., 2137675225 + 64545156 = 46235^2 + 8034^2 .

It is a cyclic number.

It is not a de Polignac number, because 2202220381 - 21 = 2202220379 is a prime.

It is a super-2 number, since 2×22022203812 = 9699549212983570322, which contains 22 as substring.

Together with 2202220379, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2202223381) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1101110190 + 1101110191.

It is an arithmetic number, because the mean of its divisors is an integer number (1101110191).

Almost surely, 22202220381 is an apocalyptic number.

It is an amenable number.

2202220381 is a deficient number, since it is larger than the sum of its proper divisors (1).

2202220381 is an equidigital number, since it uses as much as digits as its factorization.

2202220381 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 2202220381 is about 46927.8209700813. The cubic root of 2202220381 is about 1301.0288464819.

The spelling of 2202220381 in words is "two billion, two hundred two million, two hundred twenty thousand, three hundred eighty-one".