Search a number
-
+
199155840 = 27351379101
BaseRepresentation
bin10111101111011…
…10000010000000
3111212202011110020
423313232002000
5401440441330
631432333440
74635540162
oct1367560200
9455664406
10199155840
11a2466804
1256844280
133234ccc0
141c642932
151273e210
hexbdee080

199155840 has 256 divisors, whose sum is σ = 699148800. Its totient is φ = 47923200.

The previous prime is 199155839. The next prime is 199155851. The reversal of 199155840 is 48551991.

It is a super-2 number, since 2×1991558402 = 79326097212211200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 199155792 and 199155801.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1971790 + ... + 1971890.

It is an arithmetic number, because the mean of its divisors is an integer number (2731050).

Almost surely, 2199155840 is an apocalyptic number.

199155840 is a gapful number since it is divisible by the number (10) 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 199155840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349574400).

199155840 is an abundant number, since it is smaller than the sum of its proper divisors (499992960).

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

199155840 is a wasteful number, since it uses less digits than its factorization.

199155840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 42.

The square root of 199155840 is about 14112.2585010338. The cubic root of 199155840 is about 583.9796077198.

The spelling of 199155840 in words is "one hundred ninety-nine million, one hundred fifty-five thousand, eight hundred forty".