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193138933 = 131947127131
BaseRepresentation
bin10111000001100…
…01000011110101
3111110102110210211
423200301003311
5343420421213
631055345421
74533440161
oct1340610365
9443373724
10193138933
119a027159
1254822271
13310243c0
141b917ca1
1511e5153d
hexb8310f5

193138933 has 32 divisors (see below), whose sum is σ = 227082240. Its totient is φ = 162751680.

The previous prime is 193138909. The next prime is 193138949. The reversal of 193138933 is 339831391.

It is a de Polignac number, because none of the positive numbers 2k-193138933 is a prime.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (193138133) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1474278 + ... + 1474408.

It is an arithmetic number, because the mean of its divisors is an integer number (7096320).

Almost surely, 2193138933 is an apocalyptic number.

193138933 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

193138933 is a deficient number, since it is larger than the sum of its proper divisors (33943307).

193138933 is a wasteful number, since it uses less digits than its factorization.

193138933 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337.

The product of its digits is 52488, while the sum is 40.

The square root of 193138933 is about 13897.4433979779. The cubic root of 193138933 is about 578.0382922233.

The spelling of 193138933 in words is "one hundred ninety-three million, one hundred thirty-eight thousand, nine hundred thirty-three".

Divisors: 1 13 19 47 127 131 247 611 893 1651 1703 2413 2489 5969 6157 11609 16637 31369 32357 77597 80041 113411 116983 216281 316103 781939 1474343 1520779 4109339 10165207 14856841 193138933