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198868992 = 21537172
BaseRepresentation
bin10111101101010…
…00000000000000
3111212012120222020
423312220000000
5401402301432
631422241440
74633233660
oct1366500000
9455176866
10198868992
11a2290243
1256726280
133227c57a
141c5aa1a0
15126d422c
hexbda8000

198868992 has 192 divisors, whose sum is σ = 643815840. Its totient is φ = 53477376.

The previous prime is 198868981. The next prime is 198868997. The reversal of 198868992 is 299868891.

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (198868997) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11698168 + ... + 11698184.

Almost surely, 2198868992 is an apocalyptic number.

198868992 is a gapful number since it is divisible by the number (12) 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 198868992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321907920).

198868992 is an abundant number, since it is smaller than the sum of its proper divisors (444946848).

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

198868992 is an frugal number, since it uses more digits than its factorization.

198868992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74 (or 29 counting only the distinct ones).

The product of its digits is 4478976, while the sum is 60.

The square root of 198868992 is about 14102.0917597355. The cubic root of 198868992 is about 583.6991006369.

The spelling of 198868992 in words is "one hundred ninety-eight million, eight hundred sixty-eight thousand, nine hundred ninety-two".