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199964574 = 232171135783
BaseRepresentation
bin10111110101100…
…11011110011110
3111221021020211100
423322303132132
5402142331244
631501533530
74645446045
oct1372633636
9457236740
10199964574
11a2969387
1256b742a6
1332574144
141c7b355c
151284db69
hexbeb379e

199964574 has 48 divisors (see below), whose sum is σ = 462881952. Its totient is φ = 62168064.

The previous prime is 199964573. The next prime is 199964587. The reversal of 199964574 is 475469991.

It is a happy number.

199964574 is a `hidden beast` number, since 1 + 9 + 9 + 9 + 64 + 574 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 199964574.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (199964573) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31687 + ... + 37469.

It is an arithmetic number, because the mean of its divisors is an integer number (9643374).

Almost surely, 2199964574 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 199964574, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231440976).

199964574 is an abundant number, since it is smaller than the sum of its proper divisors (262917378).

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

199964574 is a wasteful number, since it uses less digits than its factorization.

199964574 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5921 (or 5918 counting only the distinct ones).

The product of its digits is 2449440, while the sum is 54.

The square root of 199964574 is about 14140.8830700208. The cubic root of 199964574 is about 584.7690168529.

The spelling of 199964574 in words is "one hundred ninety-nine million, nine hundred sixty-four thousand, five hundred seventy-four".

Divisors: 1 2 3 6 9 17 18 34 51 102 113 153 226 306 339 678 1017 1921 2034 3842 5763 5783 11526 11566 17289 17349 34578 34698 52047 98311 104094 196622 294933 589866 653479 884799 1306958 1769598 1960437 3920874 5881311 11109143 11762622 22218286 33327429 66654858 99982287 199964574