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199964622 = 2311132310133
BaseRepresentation
bin10111110101100…
…11011111001110
3111221021020220010
423322303133032
5402142331442
631501534050
74645446144
oct1372633716
9457236803
10199964622
11a2969420
1256b74326
1332574180
141c7b3594
151284db9c
hexbeb37ce

199964622 has 64 divisors (see below), whose sum is σ = 490323456. Its totient is φ = 53496960.

The previous prime is 199964621. The next prime is 199964623. The reversal of 199964622 is 226469991.

199964622 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (199964621) and next prime (199964623).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (199964621) 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 31 ways as a sum of consecutive naturals, for example, 14668 + ... + 24800.

It is an arithmetic number, because the mean of its divisors is an integer number (7661304).

Almost surely, 2199964622 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 199964622, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245161728).

199964622 is an abundant number, since it is smaller than the sum of its proper divisors (290358834).

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

199964622 is a wasteful number, since it uses less digits than its factorization.

199964622 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10185.

The product of its digits is 419904, while the sum is 48.

The square root of 199964622 is about 14140.8847672273. The cubic root of 199964622 is about 584.7690636427.

The spelling of 199964622 in words is "one hundred ninety-nine million, nine hundred sixty-four thousand, six hundred twenty-two".

Divisors: 1 2 3 6 11 13 22 23 26 33 39 46 66 69 78 138 143 253 286 299 429 506 598 759 858 897 1518 1794 3289 6578 9867 10133 19734 20266 30399 60798 111463 131729 222926 233059 263458 334389 395187 466118 668778 699177 790374 1398354 1449019 2563649 2898038 3029767 4347057 5127298 6059534 7690947 8694114 9089301 15381894 18178602 33327437 66654874 99982311 199964622