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199825434 = 2337974643
BaseRepresentation
bin10111110100100…
…01100000011010
3111221000011222000
423322101200122
5402123403214
631454541430
74644326304
oct1372214032
9457004860
10199825434
11a2883896
1256b07876
1332525a03
141c778974
1512822809
hexbe9181a

199825434 has 32 divisors (see below), whose sum is σ = 444709440. Its totient is φ = 66510576.

The previous prime is 199825433. The next prime is 199825477. The reversal of 199825434 is 434528991.

199825434 is a `hidden beast` number, since 19 + 98 + 2 + 543 + 4 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 199825434.

It is not an unprimeable number, because it can be changed into a prime (199825433) 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 15 ways as a sum of consecutive naturals, for example, 40717 + ... + 45359.

It is an arithmetic number, because the mean of its divisors is an integer number (13897170).

Almost surely, 2199825434 is an apocalyptic number.

199825434 is an abundant number, since it is smaller than the sum of its proper divisors (244884006).

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

199825434 is a wasteful number, since it uses less digits than its factorization.

199825434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5451 (or 5445 counting only the distinct ones).

The product of its digits is 311040, while the sum is 45.

The square root of 199825434 is about 14135.9624362829. The cubic root of 199825434 is about 584.6333534226.

The spelling of 199825434 in words is "one hundred ninety-nine million, eight hundred twenty-five thousand, four hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 54 797 1594 2391 4643 4782 7173 9286 13929 14346 21519 27858 41787 43038 83574 125361 250722 3700471 7400942 11101413 22202826 33304239 66608478 99912717 199825434