Search a number
-
+
22261105649 is a prime number
BaseRepresentation
bin10100101110110111…
…011000001111110001
32010110102012100002102
4110232313120033301
5331042320340044
614120540430145
71415436163436
oct245667301761
963412170072
1022261105649
1194938a5182
124393248355
132139c82583
14111270bb8d
158a450824e
hex52edd83f1

22261105649 has 2 divisors, whose sum is σ = 22261105650. Its totient is φ = 22261105648.

The previous prime is 22261105639. The next prime is 22261105661. The reversal of 22261105649 is 94650116222.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 22184017249 + 77088400 = 148943^2 + 8780^2 .

It is a cyclic number.

It is not a de Polignac number, because 22261105649 - 28 = 22261105393 is a prime.

It is a super-2 number, since 2×222611056492 (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (22261105619) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11130552824 + 11130552825.

It is an arithmetic number, because the mean of its divisors is an integer number (11130552825).

Almost surely, 222261105649 is an apocalyptic number.

It is an amenable number.

22261105649 is a deficient number, since it is larger than the sum of its proper divisors (1).

22261105649 is an equidigital number, since it uses as much as digits as its factorization.

22261105649 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 51840, while the sum is 38.

The spelling of 22261105649 in words is "twenty-two billion, two hundred sixty-one million, one hundred five thousand, six hundred forty-nine".