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22195934289 = 325329372
BaseRepresentation
bin10100101010111110…
…110001010001010001
32010021212120021210100
4110222332301101101
5330424124344124
614110251523013
71414015220454
oct245276612121
963255507710
1022195934289
119460031a51
124375459469
132129614839
141107bc549b
1589d9331c9
hex52afb1451

22195934289 has 27 divisors (see below), whose sum is σ = 32712039633. Its totient is φ = 14502601152.

The previous prime is 22195934279. The next prime is 22195934297. The reversal of 22195934289 is 98243959122.

The square root of 22195934289 is 148983.

It is a perfect power (a square), and thus also a powerful number.

22195934289 is a `hidden beast` number, since 2 + 2 + 1 + 9 + 593 + 42 + 8 + 9 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2264141889 + 19931792400 = 47583^2 + 141180^2 .

It is not a de Polignac number, because 22195934289 - 233 = 13605999697 is a prime.

It is not an unprimeable number, because it can be changed into a prime (22195934219) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 23687829 + ... + 23688765.

Almost surely, 222195934289 is an apocalyptic number.

22195934289 is the 148983-rd square number.

22195934289 is the 74492-nd centered octagonal number.

It is an amenable number.

22195934289 is a deficient number, since it is larger than the sum of its proper divisors (10516105344).

22195934289 is an frugal number, since it uses more digits than its factorization.

22195934289 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1986 (or 993 counting only the distinct ones).

The product of its digits is 2799360, while the sum is 54.

It can be divided in two parts, 22195 and 934289, that added together give a square (956484 = 9782).

The spelling of 22195934289 in words is "twenty-two billion, one hundred ninety-five million, nine hundred thirty-four thousand, two hundred eighty-nine".

Divisors: 1 3 9 53 159 477 937 2809 2811 8427 8433 25281 49661 148983 446949 877969 2632033 2633907 7896099 7901721 23688297 46532357 139597071 418791213 2466214921 7398644763 22195934289