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193396644 = 22327898623
BaseRepresentation
bin10111000011011…
…11111110100100
3111110220120022200
423201233332210
5344002143034
631105054500
74535562420
oct1341577644
9443816280
10193396644
119a192841
1254927430
13310b47ac
141b983b80
1511ea2a99
hexb86ffa4

193396644 has 72 divisors (see below), whose sum is σ = 565044480. Its totient is φ = 54628992.

The previous prime is 193396613. The next prime is 193396663. The reversal of 193396644 is 446693391.

193396644 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a self number, because there is not a number n which added to its sum of digits gives 193396644.

It is an unprimeable number.

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, 18117 + ... + 26739.

It is an arithmetic number, because the mean of its divisors is an integer number (7847840).

Almost surely, 2193396644 is an apocalyptic number.

193396644 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 193396644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282522240).

193396644 is an abundant number, since it is smaller than the sum of its proper divisors (371647836).

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

193396644 is a wasteful number, since it uses less digits than its factorization.

193396644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8729 (or 8724 counting only the distinct ones).

The product of its digits is 419904, while the sum is 45.

The square root of 193396644 is about 13906.7121923192. The cubic root of 193396644 is about 578.2952758294.

The spelling of 193396644 in words is "one hundred ninety-three million, three hundred ninety-six thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 89 126 178 252 267 356 534 623 801 1068 1246 1602 1869 2492 3204 3738 5607 7476 8623 11214 17246 22428 25869 34492 51738 60361 77607 103476 120722 155214 181083 241444 310428 362166 543249 724332 767447 1086498 1534894 2172996 2302341 3069788 4604682 5372129 6907023 9209364 10744258 13814046 16116387 21488516 27628092 32232774 48349161 64465548 96698322 193396644