Search a number
-
+
22112000008 = 23711322915259
BaseRepresentation
bin10100100101111110…
…100101100000001000
32010002000121222121021
4110211332211200020
5330241133000013
614054052522224
71411645620220
oct244576454010
963060558537
1022112000008
11941771397a
124351320374
132115107797
1410da9b7080
158963a3a8d
hex525fa5808

22112000008 has 64 divisors (see below), whose sum is σ = 48014064000. Its totient is φ = 9351078912.

The previous prime is 22111999997. The next prime is 22112000033. The reversal of 22112000008 is 80000021122.

It is a junction number, because it is equal to n+sod(n) for n = 22111999955 and 22112000000.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1441483 + ... + 1456741.

It is an arithmetic number, because the mean of its divisors is an integer number (750219750).

Almost surely, 222112000008 is an apocalyptic number.

22112000008 is a gapful number since it is divisible by the number (28) 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 22112000008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24007032000).

22112000008 is an abundant number, since it is smaller than the sum of its proper divisors (25902063992).

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

22112000008 is a wasteful number, since it uses less digits than its factorization.

22112000008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15614 (or 15610 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

The spelling of 22112000008 in words is "twenty-two billion, one hundred twelve million, eight", and thus it is an aban number.

Divisors: 1 2 4 7 8 14 28 56 113 226 229 452 458 791 904 916 1582 1603 1832 3164 3206 6328 6412 12824 15259 25877 30518 51754 61036 103508 106813 122072 181139 207016 213626 362278 427252 724556 854504 1449112 1724267 3448534 3494311 6897068 6988622 12069869 13794136 13977244 24139738 24460177 27954488 48279476 48920354 96558952 97840708 195681416 394857143 789714286 1579428572 2764000001 3158857144 5528000002 11056000004 22112000008