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199467216 = 243213127839
BaseRepresentation
bin10111110001110…
…10000011010000
3111220022222120200
423320322003100
5402030422331
631443135200
74641305034
oct1370720320
9456288520
10199467216
11a2659743
1256974500
133242b950
141c6c41c4
15127a15e6
hexbe3a0d0

199467216 has 120 divisors (see below), whose sum is σ = 606627840. Its totient is φ = 60818688.

The previous prime is 199467193. The next prime is 199467217. The reversal of 199467216 is 612764991.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (199467217) 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 23 ways as a sum of consecutive naturals, for example, 237325 + ... + 238163.

It is an arithmetic number, because the mean of its divisors is an integer number (5055232).

Almost surely, 2199467216 is an apocalyptic number.

199467216 is a gapful number since it is divisible by the number (16) 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 199467216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303313920).

199467216 is an abundant number, since it is smaller than the sum of its proper divisors (407160624).

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

199467216 is a wasteful number, since it uses less digits than its factorization.

199467216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 993 (or 984 counting only the distinct ones).

The product of its digits is 163296, while the sum is 45.

The square root of 199467216 is about 14123.2863031236. The cubic root of 199467216 is about 584.2837958878.

The spelling of 199467216 in words is "one hundred ninety-nine million, four hundred sixty-seven thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 127 144 156 208 234 254 312 381 468 508 624 762 839 936 1016 1143 1524 1651 1678 1872 2032 2286 2517 3048 3302 3356 4572 4953 5034 6096 6604 6712 7551 9144 9906 10068 10907 13208 13424 14859 15102 18288 19812 20136 21814 26416 29718 30204 32721 39624 40272 43628 59436 60408 65442 79248 87256 98163 106553 118872 120816 130884 174512 196326 213106 237744 261768 319659 392652 426212 523536 639318 785304 852424 958977 1278636 1385189 1570608 1704848 1917954 2557272 2770378 3835908 4155567 5114544 5540756 7671816 8311134 11081512 12466701 15343632 16622268 22163024 24933402 33244536 49866804 66489072 99733608 199467216