Search a number
-
+
297008990208 = 2113273174257
BaseRepresentation
bin1000101001001110001…
…11011000100000000000
31001101122001210222122200
410110213013120200000
514331233300141313
6344235525233200
730313105522230
oct4244707304000
91041561728580
10297008990208
11104a62917387
124968b862800
1322014274428
1410537bd9cc0
157ad4ce3b73
hex45271d8800

297008990208 has 288 divisors, whose sum is σ = 1011999905280. Its totient is φ = 82121195520.

The previous prime is 297008990197. The next prime is 297008990221. The reversal of 297008990208 is 802099800792.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 3962616 + ... + 4036872.

It is an arithmetic number, because the mean of its divisors is an integer number (3513888560).

Almost surely, 2297008990208 is an apocalyptic number.

297008990208 is a gapful number since it is divisible by the number (28) 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 297008990208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (505999952640).

297008990208 is an abundant number, since it is smaller than the sum of its proper divisors (714990915072).

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

297008990208 is a wasteful number, since it uses less digits than its factorization.

297008990208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74323 (or 74300 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 54.

The spelling of 297008990208 in words is "two hundred ninety-seven billion, eight million, nine hundred ninety thousand, two hundred eight".