Search a number
-
+
30922426080 = 25335721317661
BaseRepresentation
bin11100110011000111…
…101100011011100000
32221211001000000002000
4130303013230123200
51001312120113310
622112222524000
72143200166500
oct346307543340
987731000060
1030922426080
11121289a3437
125baba36600
132bba511250
1416d4b61a00
15c0ead54c0
hex7331ec6e0

30922426080 has 1152 divisors, whose sum is σ = 143775596160. Its totient is φ = 6131220480.

The previous prime is 30922426069. The next prime is 30922426111. The reversal of 30922426080 is 8062422903.

30922426080 is a `hidden beast` number, since 3 + 0 + 9 + 2 + 2 + 42 + 608 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 46780950 + ... + 46781610.

It is an arithmetic number, because the mean of its divisors is an integer number (124805205).

Almost surely, 230922426080 is an apocalyptic number.

30922426080 is a gapful number since it is divisible by the number (30) 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 30922426080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71887798080).

30922426080 is an abundant number, since it is smaller than the sum of its proper divisors (112853170080).

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

30922426080 is a wasteful number, since it uses less digits than its factorization.

30922426080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 729 (or 708 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

Adding to 30922426080 its reverse (8062422903), we get a palindrome (38984848983).

The spelling of 30922426080 in words is "thirty billion, nine hundred twenty-two million, four hundred twenty-six thousand, eighty".