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193493196 = 2232133113337
BaseRepresentation
bin10111000100001…
…11100011001100
3111111002110202200
423202013203030
5344013240241
631111121500
74536444051
oct1342074314
9444073680
10193493196
119a249336
1254973290
1331119720
141b9ab028
1511ec14b6
hexb8878cc

193493196 has 72 divisors (see below), whose sum is σ = 543763584. Its totient is φ = 57611520.

The previous prime is 193493189. The next prime is 193493213. The reversal of 193493196 is 691394391.

It is a super-3 number, since 3×1934931963 (a number of 26 digits) contains 333 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 7840 + ... + 21176.

It is an arithmetic number, because the mean of its divisors is an integer number (7552272).

Almost surely, 2193493196 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 193493196, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271881792).

193493196 is an abundant number, since it is smaller than the sum of its proper divisors (350270388).

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

193493196 is a wasteful number, since it uses less digits than its factorization.

193493196 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13391 (or 13386 counting only the distinct ones).

The product of its digits is 157464, while the sum is 45.

The square root of 193493196 is about 13910.1831763640. The cubic root of 193493196 is about 578.3914965205.

The spelling of 193493196 in words is "one hundred ninety-three million, four hundred ninety-three thousand, one hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 31 36 39 52 62 78 93 117 124 156 186 234 279 372 403 468 558 806 1116 1209 1612 2418 3627 4836 7254 13337 14508 26674 40011 53348 80022 120033 160044 173381 240066 346762 413447 480132 520143 693524 826894 1040286 1240341 1560429 1653788 2080572 2480682 3120858 3721023 4961364 5374811 6241716 7442046 10749622 14884092 16124433 21499244 32248866 48373299 64497732 96746598 193493196