Search a number
-
+
198284140600 = 2352713193153349
BaseRepresentation
bin1011100010101010100…
…1111110000000111000
3200221210202120222220021
42320222221332000320
511222041214444400
6231031313140224
720216444246320
oct2705251760070
9627722528807
10198284140600
1177101256687
1232518b5a674
131590c9ac060
14985026c280
1552579db71a
hex2e2aa7e038

198284140600 has 768 divisors, whose sum is σ = 629959680000. Its totient is φ = 56285798400.

The previous prime is 198284140583. The next prime is 198284140601. The reversal of 198284140600 is 6041482891.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (198284140601) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 568149226 + ... + 568149574.

It is an arithmetic number, because the mean of its divisors is an integer number (820260000).

Almost surely, 2198284140600 is an apocalyptic number.

198284140600 is a gapful number since it is divisible by the number (10) 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 198284140600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314979840000).

198284140600 is an abundant number, since it is smaller than the sum of its proper divisors (431675539400).

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

198284140600 is a wasteful number, since it uses less digits than its factorization.

198284140600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 488 (or 479 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 43.

The spelling of 198284140600 in words is "one hundred ninety-eight billion, two hundred eighty-four million, one hundred forty thousand, six hundred".