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195190944 = 25313253227
BaseRepresentation
bin10111010001001…
…10000010100000
3111121021201122020
423220212002200
5344432102234
631211341440
74560044544
oct1350460240
9447251566
10195190944
11a01a8933
1255451880
1331592400
141bccda24
1512209549
hexba260a0

195190944 has 144 divisors (see below), whose sum is σ = 567780192. Its totient is φ = 58665984.

The previous prime is 195190937. The next prime is 195190951. The reversal of 195190944 is 449091591.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (195190937) and next prime (195190951).

It is a super-2 number, since 2×1951909442 = 76199009239222272, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 195190896 and 195190905.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 859759 + ... + 859985.

It is an arithmetic number, because the mean of its divisors is an integer number (3942918).

Almost surely, 2195190944 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 195190944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283890096).

195190944 is an abundant number, since it is smaller than the sum of its proper divisors (372589248).

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

195190944 is a wasteful number, since it uses less digits than its factorization.

195190944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 42.

The square root of 195190944 is about 13971.0752628422. The cubic root of 195190944 is about 580.0782137884.

The spelling of 195190944 in words is "one hundred ninety-five million, one hundred ninety thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 53 78 96 104 106 156 159 169 208 212 227 312 318 338 416 424 454 507 624 636 676 681 689 848 908 1014 1248 1272 1352 1362 1378 1696 1816 2028 2067 2544 2704 2724 2756 2951 3632 4056 4134 5088 5408 5448 5512 5902 7264 8112 8268 8853 8957 10896 11024 11804 12031 16224 16536 17706 17914 21792 22048 23608 24062 26871 33072 35412 35828 36093 38363 47216 48124 53742 66144 70824 71656 72186 76726 94432 96248 107484 115089 141648 143312 144372 153452 156403 192496 214968 230178 283296 286624 288744 306904 312806 384992 429936 460356 469209 577488 613808 625612 859872 920712 938418 1154976 1227616 1251224 1841424 1876836 2033239 2502448 3682848 3753672 4066478 5004896 6099717 7507344 8132956 12199434 15014688 16265912 24398868 32531824 48797736 65063648 97595472 195190944