Search a number
-
+
4301422092 = 223211109227439
BaseRepresentation
bin1000000000110001…
…00111111000001100
3102002202212212211100
410000120213320030
532302131001332
61550454223100
7211410325122
oct40030477014
912082785740
104301422092
11190804a0a0
12a00654a90
135371c9896
142cb3b7912
151a296567c
hex100627e0c

4301422092 has 144 divisors (see below), whose sum is σ = 12050438400. Its totient is φ = 1282884480.

The previous prime is 4301422057. The next prime is 4301422117. The reversal of 4301422092 is 2902241034.

4301422092 is a `hidden beast` number, since 430 + 1 + 4 + 220 + 9 + 2 = 666.

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, 9798009 + ... + 9798447.

It is an arithmetic number, because the mean of its divisors is an integer number (83683600).

Almost surely, 24301422092 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 4301422092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6025219200).

4301422092 is an abundant number, since it is smaller than the sum of its proper divisors (7749016308).

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

4301422092 is a wasteful number, since it uses less digits than its factorization.

4301422092 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 796 (or 791 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 4301422092 is about 65585.2276964867. The cubic root of 4301422092 is about 1626.3125763550.

It can be divided in two parts, 430142 and 2092, that added together give a palindrome (432234).

The spelling of 4301422092 in words is "four billion, three hundred one million, four hundred twenty-two thousand, ninety-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 109 132 198 218 227 327 396 436 439 454 654 681 878 908 981 1199 1308 1317 1362 1756 1962 2043 2398 2497 2634 2724 3597 3924 3951 4086 4796 4829 4994 5268 7194 7491 7902 8172 9658 9988 10791 14388 14487 14982 15804 19316 21582 22473 24743 28974 29964 43164 43461 44946 47851 49486 57948 74229 86922 89892 95702 98972 99653 143553 148458 173844 191404 199306 222687 272173 287106 296916 298959 398612 430659 445374 526361 544346 574212 597918 816519 861318 890748 896877 1052722 1088692 1096183 1195836 1579083 1633038 1722636 1793754 2105444 2192366 2449557 3158166 3266076 3288549 3587508 4384732 4737249 4899114 6316332 6577098 9474498 9798228 9865647 10862177 13154196 18948996 19731294 21724354 32586531 39462588 43448708 65173062 97759593 119483947 130346124 195519186 238967894 358451841 391038372 477935788 716903682 1075355523 1433807364 2150711046 4301422092