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199475712 = 293273593
BaseRepresentation
bin10111110001111…
…00001000000000
3111220100102020100
423320330020000
5402031210322
631443242400
74641341562
oct1370741000
9456312210
10199475712
11a2665067
1256979400
1332432787
141c6c7332
15127a3dac
hexbe3c200

199475712 has 120 divisors (see below), whose sum is σ = 584570844. Its totient is φ = 65470464.

The previous prime is 199475693. The next prime is 199475719. The reversal of 199475712 is 217574991.

It can be written as a sum of positive squares in 2 ways, for example, as 197796096 + 1679616 = 14064^2 + 1296^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (199475719) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 336088 + ... + 336680.

Almost surely, 2199475712 is an apocalyptic number.

199475712 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 199475712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292285422).

199475712 is an abundant number, since it is smaller than the sum of its proper divisors (385095132).

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

199475712 is an equidigital number, since it uses as much as digits as its factorization.

199475712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 690 (or 671 counting only the distinct ones).

The product of its digits is 158760, while the sum is 45.

The square root of 199475712 is about 14123.5870797754. The cubic root of 199475712 is about 584.2920913272.

The spelling of 199475712 in words is "one hundred ninety-nine million, four hundred seventy-five thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 73 96 128 144 146 192 219 256 288 292 384 438 512 576 584 593 657 768 876 1152 1168 1186 1314 1536 1752 1779 2304 2336 2372 2628 3504 3558 4608 4672 4744 5256 5337 7008 7116 9344 9488 10512 10674 14016 14232 18688 18976 21024 21348 28032 28464 37376 37952 42048 42696 43289 56064 56928 75904 84096 85392 86578 112128 113856 129867 151808 168192 170784 173156 227712 259734 303616 336384 341568 346312 389601 455424 519468 683136 692624 779202 910848 1038936 1366272 1385248 1558404 2077872 2732544 2770496 3116808 4155744 5540992 6233616 8311488 11081984 12467232 16622976 22163968 24934464 33245952 49868928 66491904 99737856 199475712