Search a number
-
+
198612288 = 26327231227
BaseRepresentation
bin10111101011010…
…01010101000000
3111211201112211200
423311221111000
5401321043123
631412541200
74631114400
oct1365512500
9454645750
10198612288
11a2125396
1256621800
13321bc784
141c540800
1512683143
hexbd69540

198612288 has 252 divisors, whose sum is σ = 686604672. Its totient is φ = 54673920.

The previous prime is 198612287. The next prime is 198612289. The reversal of 198612288 is 882216891.

It is a happy number.

198612288 is a `hidden beast` number, since 1 + 9 + 8 + 612 + 28 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (198612287) and next prime (198612289).

It is a tau number, because it is divible by the number of its divisors (252).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (198612283) 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 35 ways as a sum of consecutive naturals, for example, 874831 + ... + 875057.

Almost surely, 2198612288 is an apocalyptic number.

198612288 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 198612288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343302336).

198612288 is an abundant number, since it is smaller than the sum of its proper divisors (487992384).

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

198612288 is a wasteful number, since it uses less digits than its factorization.

198612288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290 (or 270 counting only the distinct ones).

The product of its digits is 110592, while the sum is 45.

The square root of 198612288 is about 14092.9871922173. The cubic root of 198612288 is about 583.4478424091.

The spelling of 198612288 in words is "one hundred ninety-eight million, six hundred twelve thousand, two hundred eighty-eight".