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195274968 = 23372397521
BaseRepresentation
bin10111010001110…
…10100011011000
3111121102222220020
423220322203120
5344442244333
631213230440
74560544530
oct1350724330
9447388806
10195274968
11a0255a79
1255492420
13315c1725
141bd124c0
15122243b3
hexba3a8d8

195274968 has 128 divisors (see below), whose sum is σ = 589317120. Its totient is φ = 52715520.

The previous prime is 195274967. The next prime is 195274979. The reversal of 195274968 is 869472591.

195274968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 195274968.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (195274967) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 374548 + ... + 375068.

It is an arithmetic number, because the mean of its divisors is an integer number (4604040).

Almost surely, 2195274968 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 195274968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294658560).

195274968 is an abundant number, since it is smaller than the sum of its proper divisors (394042152).

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

195274968 is a wasteful number, since it uses less digits than its factorization.

195274968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 657 (or 653 counting only the distinct ones).

The product of its digits is 1088640, while the sum is 51.

The square root of 195274968 is about 13974.0820092055. The cubic root of 195274968 is about 580.1614374235.

The spelling of 195274968 in words is "one hundred ninety-five million, two hundred seventy-four thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 23 24 28 42 46 56 69 84 92 97 138 161 168 184 194 276 291 322 388 483 521 552 582 644 679 776 966 1042 1164 1288 1358 1563 1932 2037 2084 2231 2328 2716 3126 3647 3864 4074 4168 4462 5432 6252 6693 7294 8148 8924 10941 11983 12504 13386 14588 15617 16296 17848 21882 23966 26772 29176 31234 35949 43764 46851 47932 50537 53544 62468 71898 83881 87528 93702 95864 101074 124936 143796 151611 167762 187404 202148 251643 287592 303222 335524 353759 374808 404296 503286 606444 671048 707518 1006572 1061277 1162351 1212888 1415036 2013144 2122554 2324702 2830072 3487053 4245108 4649404 6974106 8136457 8490216 9298808 13948212 16272914 24409371 27896424 32545828 48818742 65091656 97637484 195274968