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2193329889 = 326722332
BaseRepresentation
bin1000001010111011…
…1000111011100001
312122212010200222100
42002232320323201
513442443024024
61001350401013
7105231665532
oct20256707341
95585120870
102193329889
11a26094233
12512660169
1328c53764a
1416b422689
15cc8507c9
hex82bb8ee1

2193329889 has 27 divisors (see below), whose sum is σ = 3229997043. Its totient is φ = 1434213792.

The previous prime is 2193329869. The next prime is 2193329909. The reversal of 2193329889 is 9889233912.

The square root of 2193329889 is 46833.

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

2193329889 is a `hidden beast` number, since 219 + 332 + 98 + 8 + 9 = 666.

2193329889 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2193329869) and next prime (2193329909).

It can be written as a sum of positive squares in only one way, i.e., 445421025 + 1747908864 = 21105^2 + 41808^2 .

It is not a de Polignac number, because 2193329889 - 25 = 2193329857 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2193329819) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 9413317 + ... + 9413549.

Almost surely, 22193329889 is an apocalyptic number.

2193329889 is the 46833-rd square number.

2193329889 is the 23417-th centered octagonal number.

It is an amenable number.

2193329889 is a deficient number, since it is larger than the sum of its proper divisors (1036667154).

2193329889 is an frugal number, since it uses more digits than its factorization.

2193329889 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 606 (or 303 counting only the distinct ones).

The product of its digits is 1679616, while the sum is 54.

The cubic root of 2193329889 is about 1299.2757087670.

The spelling of 2193329889 in words is "two billion, one hundred ninety-three million, three hundred twenty-nine thousand, eight hundred eighty-nine".

Divisors: 1 3 9 67 201 233 603 699 2097 4489 13467 15611 40401 46833 54289 140499 162867 488601 1045937 3137811 3637363 9413433 10912089 32736267 243703321 731109963 2193329889