Search a number
-
+
22660333872 = 24311173123771
BaseRepresentation
bin10101000110101010…
…010100000100110000
32011111020102020020220
4111012222110010300
5332402021140442
614224321333040
71431354442221
oct250652240460
964436366226
1022660333872
119679193260
124484a97180
1321a18b37a7
14114d751248
158c95b7eec
hex546a94130

22660333872 has 480 divisors, whose sum is σ = 72768056832. Its totient is φ = 5999616000.

The previous prime is 22660333859. The next prime is 22660333919. The reversal of 22660333872 is 27833306622.

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, 319159597 + ... + 319159667.

Almost surely, 222660333872 is an apocalyptic number.

22660333872 is a gapful number since it is divisible by the number (22) 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 22660333872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36384028416).

22660333872 is an abundant number, since it is smaller than the sum of its proper divisors (50107722960).

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

22660333872 is a wasteful number, since it uses less digits than its factorization.

22660333872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 42.

The spelling of 22660333872 in words is "twenty-two billion, six hundred sixty million, three hundred thirty-three thousand, eight hundred seventy-two".