Search a number
-
+
199550016 = 2632346441
BaseRepresentation
bin10111110010011…
…10010001000000
3111220111012011100
423321032101000
5402041100031
631445014400
74642101321
oct1371162100
9456435140
10199550016
11a2705976
12569b4400
133245a543
141c706448
15127bade6
hexbe4e440

199550016 has 42 divisors (see below), whose sum is σ = 571975742. Its totient is φ = 66516480.

The previous prime is 199550009. The next prime is 199550017. The reversal of 199550016 is 610055991.

199550016 is a `hidden beast` number, since 1 + 99 + 550 + 0 + 16 = 666.

It can be written as a sum of positive squares in only one way, i.e., 177422400 + 22127616 = 13320^2 + 4704^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (199550017) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 172645 + ... + 173796.

Almost surely, 2199550016 is an apocalyptic number.

199550016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

199550016 is an abundant number, since it is smaller than the sum of its proper divisors (372425726).

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

199550016 is a wasteful number, since it uses less digits than its factorization.

199550016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346459 (or 346446 counting only the distinct ones).

The product of its (nonzero) digits is 12150, while the sum is 36.

The square root of 199550016 is about 14126.2173280748. The cubic root of 199550016 is about 584.3646312362.

The spelling of 199550016 in words is "one hundred ninety-nine million, five hundred fifty thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 346441 692882 1039323 1385764 2078646 2771528 3117969 4157292 5543056 6235938 8314584 11086112 12471876 16629168 22172224 24943752 33258336 49887504 66516672 99775008 199550016