Search a number
-
+
10230302214 = 2331192918539
BaseRepresentation
bin10011000011100011…
…00000011000000110
3222101222010012101000
421201301200120012
5131422424132324
64411050514130
7511342063656
oct114161403006
928358105330
1010230302214
11437a814520
121b96135946
13c70624182
146d0992366
153ed2009c9
hex261c60606

10230302214 has 64 divisors (see below), whose sum is σ = 24828768000. Its totient is φ = 3096587520.

The previous prime is 10230302213. The next prime is 10230302239. The reversal of 10230302214 is 41220303201.

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 not an unprimeable number, because it can be changed into a prime (10230302213) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 542557 + ... + 561095.

It is an arithmetic number, because the mean of its divisors is an integer number (387949500).

Almost surely, 210230302214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10230302214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12414384000).

10230302214 is an abundant number, since it is smaller than the sum of its proper divisors (14598465786).

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

10230302214 is a wasteful number, since it uses less digits than its factorization.

10230302214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19490 (or 19484 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 10230302214 its reverse (41220303201), we get a palindrome (51450605415).

The spelling of 10230302214 in words is "ten billion, two hundred thirty million, three hundred two thousand, two hundred fourteen".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 198 297 594 929 1858 2787 5574 8361 10219 16722 18539 20438 25083 30657 37078 50166 55617 61314 91971 111234 166851 183942 203929 275913 333702 407858 500553 551826 611787 1001106 1223574 1835361 3670722 5506083 11012166 17222731 34445462 51668193 103336386 155004579 189450041 310009158 378900082 465013737 568350123 930027474 1136700246 1705050369 3410100738 5115151107 10230302214