Search a number
-
+
199252326 = 237213371409
BaseRepresentation
bin10111110000001…
…01100101100110
3111212221001210210
423320011211212
5402002033301
631434400250
74636421400
oct1370054546
9455831723
10199252326
11a2522249
1256890086
1332384bb0
141c669b70
151275cad6
hexbe05966

199252326 has 96 divisors (see below), whose sum is σ = 513082080. Its totient is φ = 51093504.

The previous prime is 199252321. The next prime is 199252337. The reversal of 199252326 is 623252991.

199252326 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 (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (199252321) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 140710 + ... + 142118.

It is an arithmetic number, because the mean of its divisors is an integer number (5344605).

Almost surely, 2199252326 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 199252326, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256541040).

199252326 is an abundant number, since it is smaller than the sum of its proper divisors (313829754).

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

199252326 is a wasteful number, since it uses less digits than its factorization.

199252326 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1478 (or 1471 counting only the distinct ones).

The product of its digits is 58320, while the sum is 39.

The square root of 199252326 is about 14115.6766043998. The cubic root of 199252326 is about 584.0739003091.

The spelling of 199252326 in words is "one hundred ninety-nine million, two hundred fifty-two thousand, three hundred twenty-six".

Divisors: 1 2 3 6 7 13 14 21 26 37 39 42 49 74 78 91 98 111 147 182 222 259 273 294 481 518 546 637 777 962 1274 1409 1443 1554 1813 1911 2818 2886 3367 3626 3822 4227 5439 6734 8454 9863 10101 10878 18317 19726 20202 23569 29589 36634 47138 52133 54951 59178 69041 70707 104266 109902 128219 138082 141414 156399 207123 256438 312798 364931 384657 414246 677729 729862 769314 897533 1094793 1355458 1795066 2033187 2189586 2554517 2692599 4066374 4744103 5109034 5385198 7663551 9488206 14232309 15327102 28464618 33208721 66417442 99626163 199252326