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199241536 = 26134109
BaseRepresentation
bin10111110000000…
…10111101000000
3111212220112000011
423320002331000
5402001212121
631434234304
74636345054
oct1370027500
9455815004
10199241536
11a251512a
1256885994
1332380000
141c665c64
15127597e1
hexbe02f40

199241536 has 70 divisors (see below), whose sum is σ = 432245770. Its totient is φ = 91113984.

The previous prime is 199241531. The next prime is 199241569. The reversal of 199241536 is 635142991.

It can be written as a sum of positive squares in 5 ways, for example, as 153760000 + 45481536 = 12400^2 + 6744^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (199241531) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 1827850 + ... + 1827958.

Almost surely, 2199241536 is an apocalyptic number.

199241536 is a gapful number since it is divisible by the number (16) 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 199241536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216122885).

199241536 is an abundant number, since it is smaller than the sum of its proper divisors (233004234).

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

199241536 is an frugal number, since it uses more digits than its factorization.

199241536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 124 counting only the distinct ones).

The product of its digits is 58320, while the sum is 40.

The square root of 199241536 is about 14115.2944000471. The cubic root of 199241536 is about 584.0633571095.

The spelling of 199241536 in words is "one hundred ninety-nine million, two hundred forty-one thousand, five hundred thirty-six".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 109 169 208 218 338 416 436 676 832 872 1352 1417 1744 2197 2704 2834 3488 4394 5408 5668 6976 8788 10816 11336 17576 18421 22672 28561 35152 36842 45344 57122 70304 73684 90688 114244 140608 147368 228488 239473 294736 456976 478946 589472 913952 957892 1178944 1827904 1915784 3113149 3831568 6226298 7663136 12452596 15326272 24905192 49810384 99620768 199241536