Search a number
-
+
194111424 = 2633138641
BaseRepresentation
bin10111001000111…
…10011111000000
3111112020212211000
423210132133000
5344143031144
631132252000
74544630343
oct1344363700
9445225730
10194111424
119a630871
1255011000
13312a4c40
141bacc45a
1512094769
hexb91e7c0

194111424 has 112 divisors (see below), whose sum is σ = 614619040. Its totient is φ = 59719680.

The previous prime is 194111383. The next prime is 194111447. The reversal of 194111424 is 424111491.

194111424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18144 + ... + 26784.

It is an arithmetic number, because the mean of its divisors is an integer number (5487670).

Almost surely, 2194111424 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 194111424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307309520).

194111424 is an abundant number, since it is smaller than the sum of its proper divisors (420507616).

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

194111424 is a wasteful number, since it uses less digits than its factorization.

194111424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8675 (or 8659 counting only the distinct ones).

The product of its digits is 1152, while the sum is 27.

The square root of 194111424 is about 13932.3875915078. The cubic root of 194111424 is about 579.0068457404.

The spelling of 194111424 in words is "one hundred ninety-four million, one hundred eleven thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 64 72 78 96 104 108 117 144 156 192 208 216 234 288 312 351 416 432 468 576 624 702 832 864 936 1248 1404 1728 1872 2496 2808 3744 5616 7488 8641 11232 17282 22464 25923 34564 51846 69128 77769 103692 112333 138256 155538 207384 224666 233307 276512 311076 336999 414768 449332 466614 553024 622152 673998 829536 898664 933228 1010997 1244304 1347996 1659072 1797328 1866456 2021994 2488608 2695992 3032991 3594656 3732912 4043988 4977216 5391984 6065982 7189312 7465824 8087976 10783968 12131964 14931648 16175952 21567936 24263928 32351904 48527856 64703808 97055712 194111424