Search a number
-
+
199919220 = 223523317457
BaseRepresentation
bin10111110101010…
…00011001110100
3111221011221121120
423322220121310
5402134403340
631500543540
74645166604
oct1372503164
9457157546
10199919220
11a29382a6
1256b51bb0
13325595c7
141c7a0c04
15128404d0
hexbea8674

199919220 has 96 divisors (see below), whose sum is σ = 587236608. Its totient is φ = 50721792.

The previous prime is 199919219. The next prime is 199919221. The reversal of 199919220 is 22919991.

It is an interprime number because it is at equal distance from previous prime (199919219) and next prime (199919221).

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (199919221) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 437232 + ... + 437688.

It is an arithmetic number, because the mean of its divisors is an integer number (6117048).

Almost surely, 2199919220 is an apocalyptic number.

199919220 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 199919220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293618304).

199919220 is an abundant number, since it is smaller than the sum of its proper divisors (387317388).

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

199919220 is a wasteful number, since it uses less digits than its factorization.

199919220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 809 (or 807 counting only the distinct ones).

The product of its (nonzero) digits is 26244, while the sum is 42.

The square root of 199919220 is about 14139.2793309985. The cubic root of 199919220 is about 584.7248029890.

The spelling of 199919220 in words is "one hundred ninety-nine million, nine hundred nineteen thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 46 60 69 92 115 138 230 276 317 345 457 460 634 690 914 951 1268 1371 1380 1585 1828 1902 2285 2742 3170 3804 4570 4755 5484 6340 6855 7291 9140 9510 10511 13710 14582 19020 21022 21873 27420 29164 31533 36455 42044 43746 52555 63066 72910 87492 105110 109365 126132 144869 145820 157665 210220 218730 289738 315330 434607 437460 579476 630660 724345 869214 1448690 1738428 2173035 2897380 3331987 4346070 6663974 8692140 9995961 13327948 16659935 19991922 33319870 39983844 49979805 66639740 99959610 199919220