Search a number
-
+
198865368 = 2336134361
BaseRepresentation
bin10111101101001…
…11000111011000
3111212012102000000
423312213013120
5401402142433
631422213000
74633220262
oct1366470730
9455172000
10198865368
11a2288549
1256724160
133227aa20
141c5a8b32
15126d3113
hexbda71d8

198865368 has 224 divisors, whose sum is σ = 626157840. Its totient is φ = 58786560.

The previous prime is 198865367. The next prime is 198865399. The reversal of 198865368 is 863568891.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 198865368 = 1203 + 5823 = 1983 + 5763.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (198865367) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 3260058 + ... + 3260118.

Almost surely, 2198865368 is an apocalyptic number.

198865368 is a gapful number since it is divisible by the number (18) 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 198865368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313078920).

198865368 is an abundant number, since it is smaller than the sum of its proper divisors (427292472).

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

198865368 is a wasteful number, since it uses less digits than its factorization.

198865368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 122 counting only the distinct ones).

The product of its digits is 2488320, while the sum is 54.

The square root of 198865368 is about 14101.9632675738. The cubic root of 198865368 is about 583.6955550223.

The spelling of 198865368 in words is "one hundred ninety-eight million, eight hundred sixty-five thousand, three hundred sixty-eight".