Search a number
-
+
198364608 = 26321359449
BaseRepresentation
bin10111101001011…
…00110111000000
3111211020222002100
423310230313000
5401240131413
631403350400
74626033321
oct1364546700
9454228070
10198364608
11a1a762a2
1256522400
1332133b10
141c4b8448
1512634a73
hexbd2cdc0

198364608 has 168 divisors, whose sum is σ = 624078000. Its totient is φ = 59867136.

The previous prime is 198364583. The next prime is 198364613. The reversal of 198364608 is 806463891.

198364608 is a `hidden beast` number, since 1 + 9 + 8 + 36 + 4 + 608 = 666.

198364608 is digitally balanced in base 2 and base 3, because in such bases 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 23 ways as a sum of consecutive naturals, for example, 441568 + ... + 442016.

It is an arithmetic number, because the mean of its divisors is an integer number (3714750).

Almost surely, 2198364608 is an apocalyptic number.

198364608 is a gapful number since it is divisible by the number (18) 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 198364608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312039000).

198364608 is an abundant number, since it is smaller than the sum of its proper divisors (425713392).

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

198364608 is a wasteful number, since it uses less digits than its factorization.

198364608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 539 (or 526 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 198364608 is about 14084.1971017165. The cubic root of 198364608 is about 583.2052114445.

The spelling of 198364608 in words is "one hundred ninety-eight million, three hundred sixty-four thousand, six hundred eight".