Search a number
-
+
2202303221 is a prime number
BaseRepresentation
bin1000001101000100…
…0111101011110101
312200111000121001222
42003101013223311
514002242200341
61002311000125
7105401161046
oct20321075365
95614017058
102202303221
11a30163008
12515669045
13291359b01
1416c6ba8cd
15cd52444b
hex83447af5

2202303221 has 2 divisors, whose sum is σ = 2202303222. Its totient is φ = 2202303220.

The previous prime is 2202303163. The next prime is 2202303241. The reversal of 2202303221 is 1223032022.

2202303221 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2198578321 + 3724900 = 46889^2 + 1930^2 .

It is a cyclic number.

It is not a de Polignac number, because 2202303221 - 226 = 2135194357 is a prime.

It is a super-3 number, since 3×22023032213 (a number of 29 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2202303221.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2202303241) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1101151610 + 1101151611.

It is an arithmetic number, because the mean of its divisors is an integer number (1101151611).

Almost surely, 22202303221 is an apocalyptic number.

It is an amenable number.

2202303221 is a deficient number, since it is larger than the sum of its proper divisors (1).

2202303221 is an equidigital number, since it uses as much as digits as its factorization.

2202303221 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 2202303221 is about 46928.7035938561. The cubic root of 2202303221 is about 1301.0451596961.

Adding to 2202303221 its reverse (1223032022), we get a palindrome (3425335243).

The spelling of 2202303221 in words is "two billion, two hundred two million, three hundred three thousand, two hundred twenty-one".