Search a number
-
+
298225195632 = 243371321930713
BaseRepresentation
bin1000101011011111001…
…10110101101001110000
31001111202211022121212000
410111233212311221300
514341231122230012
6345000332534000
730355204223520
oct4255746655160
91044684277760
10298225195632
11105527391531
124996b021300
1322179220b00
1410611547680
157b56980ddc
hex456f9b5a70

298225195632 has 480 divisors, whose sum is σ = 1115139340800. Its totient is φ = 74510751744.

The previous prime is 298225195607. The next prime is 298225195633. The reversal of 298225195632 is 236591522892.

It is a happy number.

298225195632 is a `hidden beast` number, since 2 + 9 + 8 + 22 + 51 + 9 + 563 + 2 = 666.

It is a super-3 number, since 3×2982251956323 (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (298225195633) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9694708 + ... + 9725420.

It is an arithmetic number, because the mean of its divisors is an integer number (2323206960).

Almost surely, 2298225195632 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 298225195632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (557569670400).

298225195632 is an abundant number, since it is smaller than the sum of its proper divisors (816914145168).

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

298225195632 is a wasteful number, since it uses less digits than its factorization.

298225195632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30782 (or 30757 counting only the distinct ones).

The product of its digits is 4665600, while the sum is 54.

The spelling of 298225195632 in words is "two hundred ninety-eight billion, two hundred twenty-five million, one hundred ninety-five thousand, six hundred thirty-two".