Search a number
-
+
199795050 = 2325272131741
BaseRepresentation
bin10111110100010…
…10000101101010
3111220221122021200
423322022011222
5402121420200
631454145030
74644141600
oct1372120552
9456848250
10199795050
11a2862a84
1256ab2176
1332514c30
141c76b870
1512818800
hexbe8a16a

199795050 has 432 divisors, whose sum is σ = 729375192. Its totient is φ = 38707200.

The previous prime is 199795039. The next prime is 199795061. The reversal of 199795050 is 50597991.

199795050 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (199795039) and next prime (199795061).

It can be written as a sum of positive squares in 12 ways, for example, as 1238769 + 198556281 = 1113^2 + 14091^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 199794987 and 199795005.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 4873030 + ... + 4873070.

Almost surely, 2199795050 is an apocalyptic number.

199795050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 199795050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364687596).

199795050 is an abundant number, since it is smaller than the sum of its proper divisors (529580142).

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

199795050 is a wasteful number, since it uses less digits than its factorization.

199795050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 127575, while the sum is 45.

The square root of 199795050 is about 14134.8876896847. The cubic root of 199795050 is about 584.6037202242.

The spelling of 199795050 in words is "one hundred ninety-nine million, seven hundred ninety-five thousand, fifty".