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199755372 = 223172234391
BaseRepresentation
bin10111110100000…
…00011001101100
3111220212121212010
423322000121230
5402114132442
631453241220
74643615115
oct1372003154
9456777763
10199755372
11a2836193
1256a93210
13324ccb5b
141c75b20c
151280bb9c
hexbe8066c

199755372 has 48 divisors (see below), whose sum is σ = 495839232. Its totient is φ = 62373120.

The previous prime is 199755337. The next prime is 199755373. The reversal of 199755372 is 273557991.

It is not an unprimeable number, because it can be changed into a prime (199755373) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43297 + ... + 47687.

It is an arithmetic number, because the mean of its divisors is an integer number (10329984).

Almost surely, 2199755372 is an apocalyptic number.

199755372 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 199755372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247919616).

199755372 is an abundant number, since it is smaller than the sum of its proper divisors (296083860).

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

199755372 is a wasteful number, since it uses less digits than its factorization.

199755372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4638 (or 4636 counting only the distinct ones).

The product of its digits is 595350, while the sum is 48.

The square root of 199755372 is about 14133.4840715232. The cubic root of 199755372 is about 584.5650181607.

The spelling of 199755372 in words is "one hundred ninety-nine million, seven hundred fifty-five thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 204 223 446 669 892 1338 2676 3791 4391 7582 8782 11373 13173 15164 17564 22746 26346 45492 52692 74647 149294 223941 298588 447882 895764 979193 1958386 2937579 3916772 5875158 11750316 16646281 33292562 49938843 66585124 99877686 199755372