Search a number
-
+
197820000 = 2532547157
BaseRepresentation
bin10111100101001…
…11111001100000
3111210020022000200
423302213321200
5401120220000
631343545200
74621304460
oct1362477140
9453208020
10197820000
11a1734104
12562bb200
1331ca2c71
141c3b5ba0
1512578500
hexbca7e60

197820000 has 360 divisors, whose sum is σ = 808503696. Its totient is φ = 44928000.

The previous prime is 197819983. The next prime is 197820013. The reversal of 197820000 is 28791.

It is a tau number, because it is divible by the number of its divisors (360).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1259922 + ... + 1260078.

Almost surely, 2197820000 is an apocalyptic number.

197820000 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 197820000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404251848).

197820000 is an abundant number, since it is smaller than the sum of its proper divisors (610683696).

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

197820000 is a wasteful number, since it uses less digits than its factorization.

197820000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 197820000 is about 14064.8498036773. The cubic root of 197820000 is about 582.6709942712.

Adding to 197820000 its reverse (28791), we get a palindrome (197848791).

The spelling of 197820000 in words is "one hundred ninety-seven million, eight hundred twenty thousand".