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2257593234 = 2313172118069
BaseRepresentation
bin1000011010010000…
…0010001110010010
312211100001121201020
42012210002032102
514110420440414
61012004020310
7106642140321
oct20644021622
95740047636
102257593234
11a59397236
12530091696
1329c947cb0
14175b900b8
15d32e67a9
hex86902392

2257593234 has 64 divisors (see below), whose sum is σ = 5173580160. Its totient is φ = 650603520.

The previous prime is 2257593211. The next prime is 2257593241. The reversal of 2257593234 is 4323957522.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 275752 + ... + 283820.

It is an arithmetic number, because the mean of its divisors is an integer number (80837190).

Almost surely, 22257593234 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2257593234, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2586790080).

2257593234 is an abundant number, since it is smaller than the sum of its proper divisors (2915986926).

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

2257593234 is a wasteful number, since it uses less digits than its factorization.

2257593234 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8315.

The product of its digits is 453600, while the sum is 42.

The square root of 2257593234 is about 47514.1372014688. The cubic root of 2257593234 is about 1311.8431088576.

The spelling of 2257593234 in words is "two billion, two hundred fifty-seven million, five hundred ninety-three thousand, two hundred thirty-four".

Divisors: 1 2 3 6 13 17 26 34 39 51 78 102 211 221 422 442 633 663 1266 1326 2743 3587 5486 7174 8069 8229 10761 16138 16458 21522 24207 46631 48414 93262 104897 137173 139893 209794 274346 279786 314691 411519 629382 823038 1702559 1783249 3405118 3566498 5107677 5349747 10215354 10699494 22133267 28943503 44266534 57887006 66399801 86830509 132799602 173661018 376265539 752531078 1128796617 2257593234