Search a number
-
+
197531217 = 34131091721
BaseRepresentation
bin10111100011000…
…01011001010001
3111202200121220000
423301201121101
5401031444332
631333440213
74615662522
oct1361413121
9452617800
10197531217
11a1557144
12561a0069
1331c016a0
141c33c849
151251cb7c
hexbc61651

197531217 has 40 divisors (see below), whose sum is σ = 320877480. Its totient is φ = 120372480.

The previous prime is 197531189. The next prime is 197531221. The reversal of 197531217 is 712135791.

It can be written as a sum of positive squares in 4 ways, for example, as 33281361 + 164249856 = 5769^2 + 12816^2 .

It is not a de Polignac number, because 197531217 - 215 = 197498449 is a prime.

It is not an unprimeable number, because it can be changed into a prime (197530217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 113917 + ... + 115637.

It is an arithmetic number, because the mean of its divisors is an integer number (8021937).

Almost surely, 2197531217 is an apocalyptic number.

It is an amenable number.

197531217 is a deficient number, since it is larger than the sum of its proper divisors (123346263).

197531217 is a wasteful number, since it uses less digits than its factorization.

197531217 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1855 (or 1846 counting only the distinct ones).

The product of its digits is 13230, while the sum is 36.

The square root of 197531217 is about 14054.5799296884. The cubic root of 197531217 is about 582.3873232172.

The spelling of 197531217 in words is "one hundred ninety-seven million, five hundred thirty-one thousand, two hundred seventeen".

Divisors: 1 3 9 13 27 39 81 109 117 327 351 981 1053 1417 1721 2943 4251 5163 8829 12753 15489 22373 38259 46467 67119 114777 139401 187589 201357 562767 604071 1688301 1812213 2438657 5064903 7315971 15194709 21947913 65843739 197531217