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199113792 = 26317531151
BaseRepresentation
bin10111101111000…
…11110001000000
3111212200000202220
423313203301000
5401433120132
631431411040
74635303453
oct1367436100
9455600686
10199113792
11a2438159
1256823a80
1332336b17
141c63149a
1512731a2c
hexbde3c40

199113792 has 112 divisors (see below), whose sum is σ = 568829952. Its totient is φ = 61235200.

The previous prime is 199113781. The next prime is 199113793. The reversal of 199113792 is 297311991.

199113792 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (199113793) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 172417 + ... + 173567.

Almost surely, 2199113792 is an apocalyptic number.

199113792 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 199113792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284414976).

199113792 is an abundant number, since it is smaller than the sum of its proper divisors (369716160).

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

199113792 is a wasteful number, since it uses less digits than its factorization.

199113792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1236 (or 1226 counting only the distinct ones).

The product of its digits is 30618, while the sum is 42.

The square root of 199113792 is about 14110.7686537623. The cubic root of 199113792 is about 583.9385060665.

The spelling of 199113792 in words is "one hundred ninety-nine million, one hundred thirteen thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 53 64 68 96 102 106 136 159 192 204 212 272 318 408 424 544 636 816 848 901 1088 1151 1272 1632 1696 1802 2302 2544 2703 3264 3392 3453 3604 4604 5088 5406 6906 7208 9208 10176 10812 13812 14416 18416 19567 21624 27624 28832 36832 39134 43248 55248 57664 58701 61003 73664 78268 86496 110496 117402 122006 156536 172992 183009 220992 234804 244012 313072 366018 469608 488024 626144 732036 939216 976048 1037051 1252288 1464072 1878432 1952096 2074102 2928144 3111153 3756864 3904192 4148204 5856288 6222306 8296408 11712576 12444612 16592816 24889224 33185632 49778448 66371264 99556896 199113792