Search a number
-
+
22903056000 = 2732531119761
BaseRepresentation
bin10101010101001000…
…001110011010000000
32012010011010210102100
4111111020032122000
5333401140243000
614304351550400
71440362523006
oct252510163200
965104123370
1022903056000
1197931a5a60
12453222b400
13220cc78656
141173a94a76
158e0a60a00
hex55520e680

22903056000 has 768 divisors, whose sum is σ = 94574563200. Its totient is φ = 5253120000.

The previous prime is 22903055977. The next prime is 22903056017. The reversal of 22903056000 is 65030922.

22903056000 is a `hidden beast` number, since 2 + 29 + 0 + 30 + 5 + 600 + 0 = 666.

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 95 ways as a sum of consecutive naturals, for example, 30095620 + ... + 30096380.

Almost surely, 222903056000 is an apocalyptic number.

22903056000 is a gapful number since it is divisible by the number (20) 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 22903056000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47287281600).

22903056000 is an abundant number, since it is smaller than the sum of its proper divisors (71671507200).

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

22903056000 is a wasteful number, since it uses less digits than its factorization.

22903056000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 826 (or 801 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

Adding to 22903056000 its reverse (65030922), we get a palindrome (22968086922).

The spelling of 22903056000 in words is "twenty-two billion, nine hundred three million, fifty-six thousand".