Search a number
-
+
222032903137 is a prime number
BaseRepresentation
bin1100111011001000110…
…0010011101111100001
3210020002212002010120221
43032302030103233201
512114210410400022
6250000035403041
722020116352133
oct3166214235741
9706085063527
10222032903137
1186188870461
1237046453481
1317c25c21676
14aa64389053
155b97901cc7
hex33b2313be1

222032903137 has 2 divisors, whose sum is σ = 222032903138. Its totient is φ = 222032903136.

The previous prime is 222032903123. The next prime is 222032903143. The reversal of 222032903137 is 731309230222.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 151277435136 + 70755468001 = 388944^2 + 265999^2 .

It is a cyclic number.

It is not a de Polignac number, because 222032903137 - 27 = 222032903009 is a prime.

It is a super-2 number, since 2×2220329031372 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (222032903117) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 111016451568 + 111016451569.

It is an arithmetic number, because the mean of its divisors is an integer number (111016451569).

Almost surely, 2222032903137 is an apocalyptic number.

It is an amenable number.

222032903137 is a deficient number, since it is larger than the sum of its proper divisors (1).

222032903137 is an equidigital number, since it uses as much as digits as its factorization.

222032903137 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 27216, while the sum is 34.

The spelling of 222032903137 in words is "two hundred twenty-two billion, thirty-two million, nine hundred three thousand, one hundred thirty-seven".