Search a number
-
+
230002222014 = 232195925145413
BaseRepresentation
bin1101011000110100110…
…0110110001110111110
3210222200020202110220100
43112031030312032332
512232021032101024
6253354521501530
722421445426015
oct3261514661676
9728606673810
10230002222014
11895a8292704
12386ab3418a6
13188c5cb1776
14b1bc947a7c
155eb238b7c9
hex358d3363be

230002222014 has 96 divisors (see below), whose sum is σ = 535594550400. Its totient is φ = 71115192000.

The previous prime is 230002222001. The next prime is 230002222063. The reversal of 230002222014 is 410222200032.

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

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, 5041972 + ... + 5087384.

It is an arithmetic number, because the mean of its divisors is an integer number (5579109900).

Almost surely, 2230002222014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230002222014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267797275200).

230002222014 is an abundant number, since it is smaller than the sum of its proper divisors (305592328386).

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

230002222014 is a wasteful number, since it uses less digits than its factorization.

230002222014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45750 (or 45747 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 230002222014 its reverse (410222200032), we get a palindrome (640224422046).

The spelling of 230002222014 in words is "two hundred thirty billion, two million, two hundred twenty-two thousand, fourteen".

Divisors: 1 2 3 6 9 18 19 38 57 59 114 118 171 177 251 342 354 502 531 753 1062 1121 1506 2242 2259 3363 4518 4769 6726 9538 10089 14307 14809 20178 28614 29618 42921 44427 45413 85842 88854 90826 133281 136239 266562 272478 281371 408717 562742 817434 844113 862847 1688226 1725694 2532339 2588541 2679367 5064678 5177082 5358734 7765623 8038101 11398663 15531246 16076202 22797326 24114303 34195989 48228606 50907973 68391978 101815946 102587967 152723919 205175934 216574597 305447838 433149194 458171757 649723791 672521117 916343514 1299447582 1345042234 1949171373 2017563351 3898342746 4035126702 6052690053 12105380106 12777901223 25555802446 38333703669 76667407338 115001111007 230002222014