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199745388 = 223229375171
BaseRepresentation
bin10111110011111…
…01111101101100
3111220212010011100
423321331331230
5402113323023
631453123100
74643544033
oct1371757554
9456763140
10199745388
11a2829737
1256a89490
13324c844b
141c75771a
1512808c43
hexbe7df6c

199745388 has 72 divisors (see below), whose sum is σ = 536543280. Its totient is φ = 62536320.

The previous prime is 199745387. The next prime is 199745401. The reversal of 199745388 is 883547991.

199745388 is a `hidden beast` number, since 19 + 97 + 4 + 538 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (199745383) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36043 + ... + 41213.

It is an arithmetic number, because the mean of its divisors is an integer number (7451990).

Almost surely, 2199745388 is an apocalyptic number.

199745388 is a gapful number since it is divisible by the number (18) 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 199745388, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268271640).

199745388 is an abundant number, since it is smaller than the sum of its proper divisors (336797892).

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

199745388 is a wasteful number, since it uses less digits than its factorization.

199745388 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5247 (or 5242 counting only the distinct ones).

The product of its digits is 2177280, while the sum is 54.

The square root of 199745388 is about 14133.1308633296. The cubic root of 199745388 is about 584.5552789243. Note that the first 3 decimals are identical.

The spelling of 199745388 in words is "one hundred ninety-nine million, seven hundred forty-five thousand, three hundred eighty-eight".

Divisors: 1 2 3 4 6 9 12 18 29 36 37 58 74 87 111 116 148 174 222 261 333 348 444 522 666 1044 1073 1332 2146 3219 4292 5171 6438 9657 10342 12876 15513 19314 20684 31026 38628 46539 62052 93078 149959 186156 191327 299918 382654 449877 573981 599836 765308 899754 1147962 1349631 1721943 1799508 2295924 2699262 3443886 5398524 5548483 6887772 11096966 16645449 22193932 33290898 49936347 66581796 99872694 199745388