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199409112 = 233273112763
BaseRepresentation
bin10111110001010…
…11110111011000
3111220020000212200
423320223313120
5402022042422
631442010200
74640643450
oct1370536730
9456200780
10199409112
11a261a021
1256946960
133240b376
141c6aad60
151278e2ac
hexbe2bdd8

199409112 has 96 divisors (see below), whose sum is σ = 637178880. Its totient is φ = 55131840.

The previous prime is 199409107. The next prime is 199409141. The reversal of 199409112 is 211904991.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9243 + ... + 22005.

It is an arithmetic number, because the mean of its divisors is an integer number (6637280).

Almost surely, 2199409112 is an apocalyptic number.

199409112 is a gapful number since it is divisible by the number (12) 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 199409112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318589440).

199409112 is an abundant number, since it is smaller than the sum of its proper divisors (437769768).

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

199409112 is a wasteful number, since it uses less digits than its factorization.

199409112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12813 (or 12806 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 36.

The square root of 199409112 is about 14121.2291249735. The cubic root of 199409112 is about 584.2270572027.

The spelling of 199409112 in words is "one hundred ninety-nine million, four hundred nine thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 31 36 42 56 62 63 72 84 93 124 126 168 186 217 248 252 279 372 434 504 558 651 744 868 1116 1302 1736 1953 2232 2604 3906 5208 7812 12763 15624 25526 38289 51052 76578 89341 102104 114867 153156 178682 229734 268023 306312 357364 395653 459468 536046 714728 791306 804069 918936 1072092 1186959 1582612 1608138 2144184 2373918 2769571 3165224 3216276 3560877 4747836 5539142 6432552 7121754 8308713 9495672 11078284 14243508 16617426 22156568 24926139 28487016 33234852 49852278 66469704 99704556 199409112