Search a number
-
+
9220663296 = 2113313101127
BaseRepresentation
bin10001001011001100…
…00010100000000000
3212210121022020011000
420211212002200000
5122340442211141
64122542452000
7444332226165
oct104546024000
925717266130
109220663296
113a01907899
121953b94000
13b3c3c08b0
1463685606c
1538e7685b6
hex225982800

9220663296 has 384 divisors, whose sum is σ = 29940019200. Its totient is φ = 2786918400.

The previous prime is 9220663229. The next prime is 9220663327. The reversal of 9220663296 is 6923660229.

It is a happy number.

9220663296 is a `hidden beast` number, since 9 + 2 + 2 + 0 + 6 + 632 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 72603585 + ... + 72603711.

It is an arithmetic number, because the mean of its divisors is an integer number (77968800).

Almost surely, 29220663296 is an apocalyptic number.

9220663296 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 9220663296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14970009600).

9220663296 is an abundant number, since it is smaller than the sum of its proper divisors (20719355904).

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

9220663296 is a wasteful number, since it uses less digits than its factorization.

9220663296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 45.

The square root of 9220663296 is about 96024.2849283451. The cubic root of 9220663296 is about 2096.9466811112.

The spelling of 9220663296 in words is "nine billion, two hundred twenty million, six hundred sixty-three thousand, two hundred ninety-six".