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198786816 = 2832192239
BaseRepresentation
bin10111101100100…
…11111100000000
3111212001102020200
423312103330000
5401342134231
631420405200
74632442254
oct1366237400
9455042220
10198786816
11a2234528
12566a6800
1332251047
141c588264
15126b9be6
hexbd93f00

198786816 has 162 divisors, whose sum is σ = 607435920. Its totient is φ = 62512128.

The previous prime is 198786799. The next prime is 198786919. The reversal of 198786816 is 618687891.

198786816 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 831625 + ... + 831863.

Almost surely, 2198786816 is an apocalyptic number.

198786816 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 198786816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303717960).

198786816 is an abundant number, since it is smaller than the sum of its proper divisors (408649104).

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

198786816 is a wasteful number, since it uses less digits than its factorization.

198786816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299 (or 263 counting only the distinct ones).

The product of its digits is 1161216, while the sum is 54.

The square root of 198786816 is about 14099.1778483712. The cubic root of 198786816 is about 583.6186914772.

The spelling of 198786816 in words is "one hundred ninety-eight million, seven hundred eighty-six thousand, eight hundred sixteen".