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198505216 = 287138521
BaseRepresentation
bin10111101010011…
…11001100000000
3111211112002222001
423311033030000
5401304131331
631410353344
74630160260
oct1365171400
9454462861
10198505216
11a20619a8
125658b854
1332182b10
141c5137a0
1512661561
hexbd4f300

198505216 has 72 divisors (see below), whose sum is σ = 487731104. Its totient is φ = 78520320.

The previous prime is 198505211. The next prime is 198505247. The reversal of 198505216 is 612505891.

It is not an unprimeable number, because it can be changed into a prime (198505211) 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 7 ways as a sum of consecutive naturals, for example, 19036 + ... + 27556.

Almost surely, 2198505216 is an apocalyptic number.

198505216 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 198505216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243865552).

198505216 is an abundant number, since it is smaller than the sum of its proper divisors (289225888).

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

198505216 is an equidigital number, since it uses as much as digits as its factorization.

198505216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8557 (or 8543 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 37.

The square root of 198505216 is about 14089.1879113028. The cubic root of 198505216 is about 583.3429778723.

The spelling of 198505216 in words is "one hundred ninety-eight million, five hundred five thousand, two hundred sixteen".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 64 91 104 112 128 182 208 224 256 364 416 448 728 832 896 1456 1664 1792 2912 3328 5824 8521 11648 17042 23296 34084 59647 68168 110773 119294 136336 221546 238588 272672 443092 477176 545344 775411 886184 954352 1090688 1550822 1772368 1908704 2181376 3101644 3544736 3817408 6203288 7089472 7634816 12406576 14178944 15269632 24813152 28357888 49626304 99252608 198505216