Search a number
-
+
198330132 = 2237112131979
BaseRepresentation
bin10111101001001…
…00011100010100
3111211012012210110
423310210130110
5401233031012
631402523020
74625530650
oct1364443424
9454165713
10198330132
11a1a52400
1256506470
1332121210
141c4a9a60
151262973c
hexbd24714

198330132 has 288 divisors, whose sum is σ = 667340800. Its totient is φ = 44478720.

The previous prime is 198330131. The next prime is 198330133. The reversal of 198330132 is 231033891.

198330132 is an esthetic number in base 13, because in such base its adjacent digits differ by 1.

It is an interprime number because it is at equal distance from previous prime (198330131) and next prime (198330133).

It is a self number, because there is not a number n which added to its sum of digits gives 198330132.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (198330131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2510469 + ... + 2510547.

Almost surely, 2198330132 is an apocalyptic number.

198330132 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 198330132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333670400).

198330132 is an abundant number, since it is smaller than the sum of its proper divisors (469010668).

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

198330132 is a wasteful number, since it uses less digits than its factorization.

198330132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 198330132 is about 14082.9731235986. The cubic root of 198330132 is about 583.1714222384.

The spelling of 198330132 in words is "one hundred ninety-eight million, three hundred thirty thousand, one hundred thirty-two".