Search a number
-
+
196565832 = 233317199269
BaseRepresentation
bin10111011011101…
…01101101001000
3111200212120122000
423231311231020
5400310101312
631301031000
74604532141
oct1355655510
9450776560
10196565832
11a0a57901
12559b5460
1331954158
141c16aac8
15123cbadc
hexbb75b48

196565832 has 128 divisors (see below), whose sum is σ = 583200000. Its totient is φ = 61129728.

The previous prime is 196565821. The next prime is 196565839. The reversal of 196565832 is 238565691.

196565832 is a `hidden beast` number, since 1 + 9 + 6 + 565 + 83 + 2 = 666.

196565832 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (196565839) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 730594 + ... + 730862.

It is an arithmetic number, because the mean of its divisors is an integer number (4556250).

Almost surely, 2196565832 is an apocalyptic number.

196565832 is a gapful number since it is divisible by the number (12) 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 196565832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291600000).

196565832 is an abundant number, since it is smaller than the sum of its proper divisors (386634168).

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

196565832 is a wasteful number, since it uses less digits than its factorization.

196565832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 500 (or 490 counting only the distinct ones).

The product of its digits is 388800, while the sum is 45.

The square root of 196565832 is about 14020.1937219141. The cubic root of 196565832 is about 581.4370153682.

The spelling of 196565832 in words is "one hundred ninety-six million, five hundred sixty-five thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 27 34 36 51 54 68 72 102 108 136 153 199 204 216 269 306 398 408 459 538 597 612 796 807 918 1076 1194 1224 1592 1614 1791 1836 2152 2388 2421 3228 3383 3582 3672 4573 4776 4842 5373 6456 6766 7164 7263 9146 9684 10149 10746 13532 13719 14328 14526 18292 19368 20298 21492 27064 27438 29052 30447 36584 40596 41157 42984 53531 54876 58104 60894 81192 82314 91341 107062 109752 121788 123471 160593 164628 182682 214124 243576 246942 321186 329256 365364 428248 481779 493884 642372 730728 910027 963558 987768 1284744 1445337 1820054 1927116 2730081 2890674 3640108 3854232 5460162 5781348 7280216 8190243 10920324 11562696 16380486 21840648 24570729 32760972 49141458 65521944 98282916 196565832