Search a number
-
+
2230301043312 = 243293747299157
BaseRepresentation
bin100000011101001000010…
…011010010101001110000
321220012210111220000121220
4200131020103102221300
5243020124031341222
64424330335345040
7320063640034146
oct40351023225160
97805714800556
102230301043312
1178a957882341
123002b7382180
13132416420274
1479d38d81596
153d0366e3b5c
hex207484d2a70

2230301043312 has 160 divisors (see below), whose sum is σ = 6123339182400. Its totient is φ = 698174152704.

The previous prime is 2230301043287. The next prime is 2230301043319. The reversal of 2230301043312 is 2133401030322.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2230301043319) 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, 243557838 + ... + 243566994.

It is an arithmetic number, because the mean of its divisors is an integer number (38270869890).

Almost surely, 22230301043312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2230301043312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3061669591200).

2230301043312 is an abundant number, since it is smaller than the sum of its proper divisors (3893038139088).

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

2230301043312 is a wasteful number, since it uses less digits than its factorization.

2230301043312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13963 (or 13957 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 2230301043312 its reverse (2133401030322), we get a palindrome (4363702073634).

The spelling of 2230301043312 in words is "two trillion, two hundred thirty billion, three hundred one million, forty-three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 29 37 48 58 74 87 111 116 148 174 222 232 296 348 444 464 592 696 888 1073 1392 1776 2146 3219 4292 4729 6438 8584 9157 9458 12876 14187 17168 18314 18916 25752 27471 28374 36628 37832 51504 54942 56748 73256 75664 109884 113496 137141 146512 174973 219768 226992 265553 274282 338809 349946 411423 439536 524919 531106 548564 677618 699892 796659 822846 1016427 1049838 1062212 1097128 1355236 1399784 1593318 1645692 2032854 2099676 2124424 2194256 2710472 2799568 3186636 3291384 4065708 4199352 4248848 5074217 5420944 6373272 6582768 8131416 8398704 9825461 10148434 12746544 15222651 16262832 19650922 20296868 29476383 30445302 39301844 40593736 43303453 58952766 60890604 78603688 81187472 86606906 117905532 121781208 129910359 157207376 173213812 235811064 243562416 259820718 346427624 471622128 519641436 692855248 1039282872 1255800137 1602227761 2078565744 2511600274 3204455522 3767400411 4806683283 5023200548 6408911044 7534800822 9613366566 10046401096 12817822088 15069601644 19226733132 20092802192 25635644176 30139203288 38453466264 46464605069 60278406576 76906932528 92929210138 139393815207 185858420276 278787630414 371716840552 557575260828 743433681104 1115150521656 2230301043312