Search a number
-
+
198350152 = 2371113173147
BaseRepresentation
bin10111101001010…
…01010101001000
3111211020020020221
423310221111020
5401234201102
631403155424
74625643220
oct1364512510
9454206227
10198350152
11a1a66450
1256515b74
133212a370
141c4b3080
1512630637
hexbd29548

198350152 has 256 divisors, whose sum is σ = 557383680. Its totient is φ = 63590400.

The previous prime is 198350147. The next prime is 198350179. The reversal of 198350152 is 251053891.

198350152 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 4220193 + ... + 4220239.

It is an arithmetic number, because the mean of its divisors is an integer number (2177280).

Almost surely, 2198350152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 198350152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278691840).

198350152 is an abundant number, since it is smaller than the sum of its proper divisors (359033528).

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

198350152 is a wasteful number, since it uses less digits than its factorization.

198350152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 34.

The square root of 198350152 is about 14083.6838930729. The cubic root of 198350152 is about 583.1910438981.

The spelling of 198350152 in words is "one hundred ninety-eight million, three hundred fifty thousand, one hundred fifty-two".