Search a number
-
+
10222231969 is a prime number
BaseRepresentation
bin10011000010100101…
…01110000110100001
3222101101221012002001
421201102232012201
5131413342410334
64410201524001
7511213352365
oct114122560641
928341835061
1010222231969
1143762021a4
121b934a3601
13c6ba59a91
146cd8912a5
153ec659714
hex2614ae1a1

10222231969 has 2 divisors, whose sum is σ = 10222231970. Its totient is φ = 10222231968.

The previous prime is 10222231961. The next prime is 10222232003. The reversal of 10222231969 is 96913222201.

10222231969 is digitally balanced in base 3, 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., 9947070225 + 275161744 = 99735^2 + 16588^2 .

It is a cyclic number.

It is not a de Polignac number, because 10222231969 - 23 = 10222231961 is a prime.

It is a super-2 number, since 2×102222319692 (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10222231961) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5111115984 + 5111115985.

It is an arithmetic number, because the mean of its divisors is an integer number (5111115985).

Almost surely, 210222231969 is an apocalyptic number.

It is an amenable number.

10222231969 is a deficient number, since it is larger than the sum of its proper divisors (1).

10222231969 is an equidigital number, since it uses as much as digits as its factorization.

10222231969 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 23328, while the sum is 37.

The spelling of 10222231969 in words is "ten billion, two hundred twenty-two million, two hundred thirty-one thousand, nine hundred sixty-nine".