Search a number
-
+
198640350 = 2355216349
BaseRepresentation
bin10111101011100…
…00001011011110
3111211202222100000
423311300023132
5401322442400
631413315130
74631262246
oct1365601336
9454688300
10198640350
11a2144487
1256635aa6
13321cc48c
141c54ab26
151268b600
hexbd702de

198640350 has 72 divisors (see below), whose sum is σ = 553480200. Its totient is φ = 52967520.

The previous prime is 198640303. The next prime is 198640357. The reversal of 198640350 is 53046891.

198640350 is a `hidden beast` number, since 1 + 9 + 8 + 640 + 3 + 5 + 0 = 666.

198640350 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 (198640357) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3976 + ... + 20324.

It is an arithmetic number, because the mean of its divisors is an integer number (7687225).

Almost surely, 2198640350 is an apocalyptic number.

198640350 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 198640350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276740100).

198640350 is an abundant number, since it is smaller than the sum of its proper divisors (354839850).

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

198640350 is a wasteful number, since it uses less digits than its factorization.

198640350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16376 (or 16359 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 198640350 is about 14093.9827586101. The cubic root of 198640350 is about 583.4753196320.

The spelling of 198640350 in words is "one hundred ninety-eight million, six hundred forty thousand, three hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 45 50 54 75 81 90 135 150 162 225 243 270 405 450 486 675 810 1215 1350 2025 2430 4050 6075 12150 16349 32698 49047 81745 98094 147141 163490 245235 294282 408725 441423 490470 735705 817450 882846 1226175 1324269 1471410 2207115 2452350 2648538 3678525 3972807 4414230 6621345 7357050 7945614 11035575 13242690 19864035 22071150 33106725 39728070 66213450 99320175 198640350