Search a number
-
+
9890022240 = 25365712113
BaseRepresentation
bin10010011010111110…
…11100001101100000
3221112020211012000000
421031133130031200
5130223321202430
64313213300000
7500040542040
oct111537341540
927466735000
109890022240
1142157290aa
121b00194600
13c17c92287
1469b6d5720
153cd3d6e60
hex24d7dc360

9890022240 has 336 divisors, whose sum is σ = 40039580448. Its totient is φ = 2260389888.

The previous prime is 9890022209. The next prime is 9890022269. The reversal of 9890022240 is 422200989.

9890022240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 9890022195 and 9890022204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 810424 + ... + 822536.

It is an arithmetic number, because the mean of its divisors is an integer number (119165418).

Almost surely, 29890022240 is an apocalyptic number.

9890022240 is a gapful number since it is divisible by the number (90) 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 9890022240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20019790224).

9890022240 is an abundant number, since it is smaller than the sum of its proper divisors (30149558208).

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

9890022240 is a wasteful number, since it uses less digits than its factorization.

9890022240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12153 (or 12130 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 9890022240 is about 99448.5909402441. The cubic root of 9890022240 is about 2146.5075616468.

The spelling of 9890022240 in words is "nine billion, eight hundred ninety million, twenty-two thousand, two hundred forty".