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199325268 = 223223673593
BaseRepresentation
bin10111110000101…
…11011001010100
3111220001202212100
423320113121110
5402011402033
631440122100
74640144142
oct1370273124
9456052770
10199325268
11a257202a
1256906330
13323ac15c
141c688592
1512774513
hexbe17654

199325268 has 72 divisors (see below), whose sum is σ = 533752128. Its totient is φ = 62587008.

The previous prime is 199325267. The next prime is 199325293. The reversal of 199325268 is 862523991.

199325268 is a `hidden beast` number, since 1 + 99 + 32 + 526 + 8 = 666.

199325268 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (199325267) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53680 + ... + 57272.

It is an arithmetic number, because the mean of its divisors is an integer number (7413224).

Almost surely, 2199325268 is an apocalyptic number.

199325268 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 199325268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266876064).

199325268 is an abundant number, since it is smaller than the sum of its proper divisors (334426860).

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

199325268 is a wasteful number, since it uses less digits than its factorization.

199325268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3693 (or 3688 counting only the distinct ones).

The product of its digits is 233280, while the sum is 45.

The square root of 199325268 is about 14118.2600911019. The cubic root of 199325268 is about 584.1451639201.

It can be divided in two parts, 19932 and 5268, that added together give a triangular number (25200 = T224).

The spelling of 199325268 in words is "one hundred ninety-nine million, three hundred twenty-five thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 67 69 92 134 138 201 207 268 276 402 414 603 804 828 1206 1541 2412 3082 3593 4623 6164 7186 9246 10779 13869 14372 18492 21558 27738 32337 43116 55476 64674 82639 129348 165278 240731 247917 330556 481462 495834 722193 743751 962924 991668 1444386 1487502 2166579 2888772 2975004 4333158 5536813 8666316 11073626 16610439 22147252 33220878 49831317 66441756 99662634 199325268