Search a number
-
+
9022149696 = 2637217192969
BaseRepresentation
bin10000110011100001…
…10001010001000000
3212021202202200200110
420121300301101000
5121434132242241
64051131551320
7436402002300
oct103160612100
925252680613
109022149696
11390a84a66a
1218b95bb540
13b0a237021
1461833d600
1537c104816
hex219c31440

9022149696 has 336 divisors, whose sum is σ = 30959755200. Its totient is φ = 2297659392.

The previous prime is 9022149683. The next prime is 9022149739. The reversal of 9022149696 is 6969412209.

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 (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3037300 + ... + 3040268.

Almost surely, 29022149696 is an apocalyptic number.

9022149696 is a gapful number since it is divisible by the number (96) 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 9022149696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15479877600).

9022149696 is an abundant number, since it is smaller than the sum of its proper divisors (21937605504).

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

9022149696 is a wasteful number, since it uses less digits than its factorization.

9022149696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3034 (or 3017 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 48.

The square root of 9022149696 is about 94984.9972153498. The cubic root of 9022149696 is about 2081.7888408052.

The spelling of 9022149696 in words is "nine billion, twenty-two million, one hundred forty-nine thousand, six hundred ninety-six".