Search a number
-
+
195946164 = 223219319241
BaseRepresentation
bin10111010110111…
…10011010110100
3111122201002121100
423223132122310
5400130234124
631235450100
74566341421
oct1353363264
9448632540
10195946164
11a0674287
1255756930
133179809b
141c048d48
15123081c9
hexbade6b4

195946164 has 72 divisors (see below), whose sum is σ = 538254080. Its totient is φ = 59875200.

The previous prime is 195946159. The next prime is 195946169. The reversal of 195946164 is 461649591.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (195946159) and next prime (195946169).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (195946169) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16584 + ... + 25824.

Almost surely, 2195946164 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 195946164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269127040).

195946164 is an abundant number, since it is smaller than the sum of its proper divisors (342307916).

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

195946164 is a wasteful number, since it uses less digits than its factorization.

195946164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9301 (or 9296 counting only the distinct ones).

The product of its digits is 233280, while the sum is 45.

The square root of 195946164 is about 13998.0771536665. The cubic root of 195946164 is about 580.8253845085.

The spelling of 195946164 in words is "one hundred ninety-five million, nine hundred forty-six thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 19 31 36 38 57 62 76 93 114 124 171 186 228 279 342 372 558 589 684 1116 1178 1767 2356 3534 5301 7068 9241 10602 18482 21204 27723 36964 55446 83169 110892 166338 175579 286471 332676 351158 526737 572942 702316 859413 1053474 1145884 1580211 1718826 2106948 2578239 3160422 3437652 5156478 5442949 6320844 10312956 10885898 16328847 21771796 32657694 48986541 65315388 97973082 195946164