Search a number
-
+
199639944 = 23337292157
BaseRepresentation
bin10111110011001…
…00001110001000
3111220122202112000
423321210032020
5402101434234
631450551000
74642624440
oct1371441610
9456582460
10199639944
11a2767499
1256a38460
133248c45a
141c72b120
15127d7899
hexbe64388

199639944 has 192 divisors, whose sum is σ = 660566400. Its totient is φ = 54722304.

The previous prime is 199639903. The next prime is 199639949. The reversal of 199639944 is 449936991.

It is a super-2 number, since 2×1996399442 = 79712214480646272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 (199639949) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 1271514 + ... + 1271670.

It is an arithmetic number, because the mean of its divisors is an integer number (3440450).

Almost surely, 2199639944 is an apocalyptic number.

199639944 is a gapful number since it is divisible by the number (14) 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 199639944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330283200).

199639944 is an abundant number, since it is smaller than the sum of its proper divisors (460926456).

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

199639944 is a wasteful number, since it uses less digits than its factorization.

199639944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237 (or 198 counting only the distinct ones).

The product of its digits is 1889568, while the sum is 54.

The square root of 199639944 is about 14129.3999872606. The cubic root of 199639944 is about 584.4524001267.

The spelling of 199639944 in words is "one hundred ninety-nine million, six hundred thirty-nine thousand, nine hundred forty-four".