Search a number
-
+
199411840 = 2751923231
BaseRepresentation
bin10111110001011…
…00100010000000
3111220020011121201
423320230202000
5402022134330
631442030544
74640654425
oct1370544200
9456204551
10199411840
11a2621081
1256948454
133240c694
141c6abd4c
151278eeca
hexbe2c880

199411840 has 192 divisors, whose sum is σ = 541497600. Its totient is φ = 69949440.

The previous prime is 199411829. The next prime is 199411843. The reversal of 199411840 is 48114991.

It is a self number, because there is not a number n which added to its sum of digits gives 199411840.

It is not an unprimeable number, because it can be changed into a prime (199411843) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6432625 + ... + 6432655.

It is an arithmetic number, because the mean of its divisors is an integer number (2820300).

Almost surely, 2199411840 is an apocalyptic number.

199411840 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 199411840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270748800).

199411840 is an abundant number, since it is smaller than the sum of its proper divisors (342085760).

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

199411840 is a wasteful number, since it uses less digits than its factorization.

199411840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 37.

The square root of 199411840 is about 14121.3257168015. The cubic root of 199411840 is about 584.2297213473.

The spelling of 199411840 in words is "one hundred ninety-nine million, four hundred eleven thousand, eight hundred forty".