Search a number
-
+
197312900 = 22521973129
BaseRepresentation
bin10111100001011…
…00000110000100
3111202021112102012
423300230012010
5401003003100
631325033352
74614063161
oct1360540604
9452245365
10197312900
11a1418114
12560b5858
1331b561c5
141c2c3068
15124c8135
hexbc2c184

197312900 has 18 divisors (see below), whose sum is σ = 428169210. Its totient is φ = 78925120.

The previous prime is 197312881. The next prime is 197312963. The reversal of 197312900 is 9213791.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 24285184 + 173027716 = 4928^2 + 13154^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 986465 + ... + 986664.

Almost surely, 2197312900 is an apocalyptic number.

197312900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

197312900 is an abundant number, since it is smaller than the sum of its proper divisors (230856310).

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

197312900 is a wasteful number, since it uses less digits than its factorization.

197312900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1973143 (or 1973136 counting only the distinct ones).

The product of its (nonzero) digits is 3402, while the sum is 32.

The square root of 197312900 is about 14046.8110259945. The cubic root of 197312900 is about 582.1726872297.

The spelling of 197312900 in words is "one hundred ninety-seven million, three hundred twelve thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 1973129 3946258 7892516 9865645 19731290 39462580 49328225 98656450 197312900