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198204916 = 227134911109
BaseRepresentation
bin10111101000001…
…01110111110100
3111210221212000211
423310011313310
5401220024131
631400115204
74624466620
oct1364056764
9453855024
10198204916
11a1977318
1256465b04
13320a9220
141c476180
15126025b1
hexbd05df4

198204916 has 48 divisors (see below), whose sum is σ = 428158080. Its totient is φ = 78180480.

The previous prime is 198204901. The next prime is 198204983. The reversal of 198204916 is 619402891.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 178170 + ... + 179278.

It is an arithmetic number, because the mean of its divisors is an integer number (8919960).

Almost surely, 2198204916 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 198204916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214079040).

198204916 is an abundant number, since it is smaller than the sum of its proper divisors (229953164).

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

198204916 is a wasteful number, since it uses less digits than its factorization.

198204916 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1624 (or 1622 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 40.

The square root of 198204916 is about 14078.5267695168. The cubic root of 198204916 is about 583.0486677095.

The spelling of 198204916 in words is "one hundred ninety-eight million, two hundred four thousand, nine hundred sixteen".

Divisors: 1 2 4 7 13 14 26 28 52 91 182 364 491 982 1109 1964 2218 3437 4436 6383 6874 7763 12766 13748 14417 15526 25532 28834 31052 44681 57668 89362 100919 178724 201838 403676 544519 1089038 2178076 3811633 7078747 7623266 14157494 15246532 28314988 49551229 99102458 198204916