Search a number
-
+
198231012 = 223271734547
BaseRepresentation
bin10111101000011…
…00001111100100
3111211000011211100
423310030033210
5401221343022
631400440100
74624635660
oct1364141744
9454004740
10198231012
11a1994991
1256479030
13320b8075
141c4818a0
151260a1ac
hexbd0c3e4

198231012 has 72 divisors (see below), whose sum is σ = 576104256. Its totient is φ = 56297664.

The previous prime is 198231001. The next prime is 198231049. The reversal of 198231012 is 210132891.

198231012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41323 + ... + 45869.

It is an arithmetic number, because the mean of its divisors is an integer number (8001448).

Almost surely, 2198231012 is an apocalyptic number.

198231012 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 198231012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288052128).

198231012 is an abundant number, since it is smaller than the sum of its proper divisors (377873244).

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

198231012 is a wasteful number, since it uses less digits than its factorization.

198231012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4737 (or 4732 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 198231012 is about 14079.4535405320. The cubic root of 198231012 is about 583.0742549832.

The spelling of 198231012 in words is "one hundred ninety-eight million, two hundred thirty-one thousand, twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 173 252 346 519 692 1038 1211 1557 2076 2422 3114 3633 4547 4844 6228 7266 9094 10899 13641 14532 18188 21798 27282 31829 40923 43596 54564 63658 81846 95487 127316 163692 190974 286461 381948 572922 786631 1145844 1573262 2359893 3146524 4719786 5506417 7079679 9439572 11012834 14159358 16519251 22025668 28318716 33038502 49557753 66077004 99115506 198231012