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198816268 = 227311132027
BaseRepresentation
bin10111101100110…
…11001000001100
3111212002220122111
423312123020030
5401344110033
631421153404
74632624160
oct1366331014
9455086574
10198816268
11a2254672
12566bb864
1332261581
141c594ca0
15126c37cd
hexbd9b20c

198816268 has 48 divisors (see below), whose sum is σ = 414296064. Its totient is φ = 81688320.

The previous prime is 198816239. The next prime is 198816329. The reversal of 198816268 is 862618891.

198816268 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 97071 + ... + 99097.

It is an arithmetic number, because the mean of its divisors is an integer number (8631168).

Almost surely, 2198816268 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 198816268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207148032).

198816268 is an abundant number, since it is smaller than the sum of its proper divisors (215479796).

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

198816268 is a wasteful number, since it uses less digits than its factorization.

198816268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2182 (or 2180 counting only the distinct ones).

The product of its digits is 331776, while the sum is 49.

The square root of 198816268 is about 14100.2222677517. Note that the first 4 decimals coincide. The cubic root of 198816268 is about 583.6475127864.

The spelling of 198816268 in words is "one hundred ninety-eight million, eight hundred sixteen thousand, two hundred sixty-eight".

Divisors: 1 2 4 7 14 28 31 62 113 124 217 226 434 452 791 868 1582 2027 3164 3503 4054 7006 8108 14012 14189 24521 28378 49042 56756 62837 98084 125674 229051 251348 439859 458102 879718 916204 1603357 1759436 3206714 6413428 7100581 14201162 28402324 49704067 99408134 198816268