Search a number
-
+
23201000334 = 23212710149169
BaseRepresentation
bin10101100110111000…
…110010101110001110
32012212220202221012200
4111212320302232032
5340003424002314
614354113542330
71450641151251
oct254670625616
965786687180
1023201000334
1199263a5a46
1245b5b749a6
132259906885
1411a1491098
1590bcb5709
hex566e32b8e

23201000334 has 24 divisors (see below), whose sum is σ = 50664656640. Its totient is φ = 7672771008.

The previous prime is 23201000299. The next prime is 23201000357. The reversal of 23201000334 is 43300010232.

23201000334 is a `hidden beast` number, since 2 + 320 + 10 + 0 + 0 + 334 = 666.

It is a super-2 number, since 2×232010003342 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 5072299 + ... + 5076870.

It is an arithmetic number, because the mean of its divisors is an integer number (2111027360).

Almost surely, 223201000334 is an apocalyptic number.

23201000334 is an abundant number, since it is smaller than the sum of its proper divisors (27463656306).

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

23201000334 is a wasteful number, since it uses less digits than its factorization.

23201000334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10149304 (or 10149301 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 23201000334 its reverse (43300010232), we get a palindrome (66501010566).

The spelling of 23201000334 in words is "twenty-three billion, two hundred one million, three hundred thirty-four", and thus it is an aban number.

Divisors: 1 2 3 6 9 18 127 254 381 762 1143 2286 10149169 20298338 30447507 60895014 91342521 182685042 1288944463 2577888926 3866833389 7733666778 11600500167 23201000334