Search a number
-
+
198402750 = 233537131719
BaseRepresentation
bin10111101001101…
…10001010111110
3111211022220102000
423310312022332
5401242342000
631404243130
74626252450
oct1364661276
9454286360
10198402750
11a1aa1a17
12565404a6
13321482a0
141c4c82d0
1512641000
hexbd362be

198402750 has 512 divisors, whose sum is σ = 754790400. Its totient is φ = 37324800.

The previous prime is 198402739. The next prime is 198402751. The reversal of 198402750 is 57204891.

198402750 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (198402751) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 10442241 + ... + 10442259.

It is an arithmetic number, because the mean of its divisors is an integer number (1474200).

Almost surely, 2198402750 is an apocalyptic number.

198402750 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 198402750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377395200).

198402750 is an abundant number, since it is smaller than the sum of its proper divisors (556387650).

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

198402750 is a wasteful number, since it uses less digits than its factorization.

198402750 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 198402750 is about 14085.5511074292. The cubic root of 198402750 is about 583.2425890590.

The spelling of 198402750 in words is "one hundred ninety-eight million, four hundred two thousand, seven hundred fifty".