Search a number
-
+
196535200 = 2552475227
BaseRepresentation
bin10111011011011…
…10001110100000
3111200211000121111
423231232032200
5400303111300
631300233104
74604343631
oct1355561640
9450730544
10196535200
11a0a36894
125599b794
1331943224
141c15d888
15123c29ba
hexbb6e3a0

196535200 has 72 divisors (see below), whose sum is σ = 490093632. Its totient is φ = 76926720.

The previous prime is 196535179. The next prime is 196535201. The reversal of 196535200 is 2535691.

It is not an unprimeable number, because it can be changed into a prime (196535201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34987 + ... + 40213.

It is an arithmetic number, because the mean of its divisors is an integer number (6806856).

Almost surely, 2196535200 is an apocalyptic number.

196535200 is a gapful number since it is divisible by the number (10) 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 196535200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245046816).

196535200 is an abundant number, since it is smaller than the sum of its proper divisors (293558432).

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

196535200 is a wasteful number, since it uses less digits than its factorization.

196535200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5294 (or 5281 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 31.

The square root of 196535200 is about 14019.1012550734. The cubic root of 196535200 is about 581.4068108922.

The spelling of 196535200 in words is "one hundred ninety-six million, five hundred thirty-five thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 47 50 80 94 100 160 188 200 235 376 400 470 752 800 940 1175 1504 1880 2350 3760 4700 5227 7520 9400 10454 18800 20908 26135 37600 41816 52270 83632 104540 130675 167264 209080 245669 261350 418160 491338 522700 836320 982676 1045400 1228345 1965352 2090800 2456690 3930704 4181600 4913380 6141725 7861408 9826760 12283450 19653520 24566900 39307040 49133800 98267600 196535200