Search a number
-
+
2189131566 = 233765315101
BaseRepresentation
bin1000001001111011…
…0111111100101110
312122120020101221220
42002132313330232
513440404202231
61001120404210
7105151211526
oct20236677456
95576211856
102189131566
11a23786a46
12511176666
1328b6c772b
1416aa4c686
15cc2c1896
hex827b7f2e

2189131566 has 32 divisors (see below), whose sum is σ = 4503778848. Its totient is φ = 708854400.

The previous prime is 2189131561. The next prime is 2189131597. The reversal of 2189131566 is 6651319812.

It is a super-2 number, since 2×21891315662 = 9584594026515224712, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2189131561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 137416 + ... + 152516.

It is an arithmetic number, because the mean of its divisors is an integer number (140743089).

Almost surely, 22189131566 is an apocalyptic number.

2189131566 is an abundant number, since it is smaller than the sum of its proper divisors (2314647282).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2189131566 is a wasteful number, since it uses less digits than its factorization.

2189131566 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15796.

The product of its digits is 77760, while the sum is 42.

The square root of 2189131566 is about 46788.1562577539. The cubic root of 2189131566 is about 1298.4461841837.

The spelling of 2189131566 in words is "two billion, one hundred eighty-nine million, one hundred thirty-one thousand, five hundred sixty-six".

Divisors: 1 2 3 6 37 74 111 222 653 1306 1959 3918 15101 24161 30202 45303 48322 72483 90606 144966 558737 1117474 1676211 3352422 9860953 19721906 29582859 59165718 364855261 729710522 1094565783 2189131566