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2225891934 = 233721018329
BaseRepresentation
bin1000010010101100…
…0110101001011110
312202010102000201000
42010223012221132
514024312020214
61004512331130
7106105524600
oct20453065136
95663360630
102225891934
11a42504612
12521543aa6
132961c8826
1417189b170
15d0633809
hex84ac6a5e

2225891934 has 96 divisors (see below), whose sum is σ = 5811674400. Its totient is φ = 629596800.

The previous prime is 2225891873. The next prime is 2225891951. The reversal of 2225891934 is 4391985222.

2225891934 is a `hidden beast` number, since 2 + 22 + 589 + 19 + 34 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 2225891934.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 263082 + ... + 271410.

It is an arithmetic number, because the mean of its divisors is an integer number (60538275).

Almost surely, 22225891934 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2225891934, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2905837200).

2225891934 is an abundant number, since it is smaller than the sum of its proper divisors (3585782466).

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

2225891934 is a wasteful number, since it uses less digits than its factorization.

2225891934 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8455 (or 8442 counting only the distinct ones).

The product of its digits is 311040, while the sum is 45.

The square root of 2225891934 is about 47179.3591944613. The cubic root of 2225891934 is about 1305.6738071414.

The spelling of 2225891934 in words is "two billion, two hundred twenty-five million, eight hundred ninety-one thousand, nine hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 49 54 63 98 101 126 147 189 202 294 303 378 441 606 707 882 909 1323 1414 1818 2121 2646 2727 4242 4949 5454 6363 8329 9898 12726 14847 16658 19089 24987 29694 38178 44541 49974 58303 74961 89082 116606 133623 149922 174909 224883 267246 349818 408121 449766 524727 816242 841229 1049454 1224363 1574181 1682458 2448726 2523687 3148362 3673089 5047374 5888603 7346178 7571061 11019267 11777206 15142122 17665809 22038534 22713183 35331618 41220221 45426366 52997427 82440442 105994854 123660663 158992281 247321326 317984562 370981989 741963978 1112945967 2225891934