Search a number
-
+
199994688 = 26321033371
BaseRepresentation
bin10111110101110…
…10110101000000
3111221022210010200
423322322311000
5402144312223
631502325200
74645632615
oct1372726500
9457283120
10199994688
11a2989a73
1256b89800
1332584a6a
141c7c050c
1512857a43
hexbebad40

199994688 has 84 divisors (see below), whose sum is σ = 578985888. Its totient is φ = 65998080.

The previous prime is 199994633. The next prime is 199994689. The reversal of 199994688 is 886499991.

199994688 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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (199994689) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 57643 + ... + 61013.

Almost surely, 2199994688 is an apocalyptic number.

199994688 is a gapful number since it is divisible by the number (18) 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 199994688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289492944).

199994688 is an abundant number, since it is smaller than the sum of its proper divisors (378991200).

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

199994688 is a wasteful number, since it uses less digits than its factorization.

199994688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3492 (or 3479 counting only the distinct ones).

The product of its digits is 10077696, while the sum is 63.

The square root of 199994688 is about 14141.9478149228. The cubic root of 199994688 is about 584.7983701360.

The spelling of 199994688 in words is "one hundred ninety-nine million, nine hundred ninety-four thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 103 144 192 206 288 309 412 576 618 824 927 1236 1648 1854 2472 3296 3371 3708 4944 6592 6742 7416 9888 10113 13484 14832 19776 20226 26968 29664 30339 40452 53936 59328 60678 80904 107872 121356 161808 215744 242712 323616 347213 485424 647232 694426 970848 1041639 1388852 1941696 2083278 2777704 3124917 4166556 5555408 6249834 8333112 11110816 12499668 16666224 22221632 24999336 33332448 49998672 66664896 99997344 199994688