Search a number
-
+
22341223300 = 225211136114923
BaseRepresentation
bin10100110011101001…
…000000001110000100
32010122222221201211211
4110303221000032010
5331223323121200
614132521541204
71420431156544
oct246351001604
963588851754
1022341223300
119525046810
1243b6044804
132150754376
14111d205324
158ab581aba
hex533a40384

22341223300 has 72 divisors (see below), whose sum is σ = 52930174752. Its totient is φ = 8117568000.

The previous prime is 22341223279. The next prime is 22341223301. The reversal of 22341223300 is 332214322.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (22341223301) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1489639 + ... + 1504561.

It is an arithmetic number, because the mean of its divisors is an integer number (735141316).

Almost surely, 222341223300 is an apocalyptic number.

22341223300 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 22341223300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26465087376).

22341223300 is an abundant number, since it is smaller than the sum of its proper divisors (30588951452).

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

22341223300 is a wasteful number, since it uses less digits than its factorization.

22341223300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16309 (or 16302 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

Adding to 22341223300 its reverse (332214322), we get a palindrome (22673437622).

The spelling of 22341223300 in words is "twenty-two billion, three hundred forty-one million, two hundred twenty-three thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 550 1100 1361 2722 5444 6805 13610 14923 14971 27220 29846 29942 34025 59692 59884 68050 74615 74855 136100 149230 149710 164153 298460 299420 328306 373075 374275 656612 746150 748550 820765 1492300 1497100 1641530 3283060 4103825 8207650 16415300 20310203 40620406 81240812 101551015 203102030 223412233 406204060 446824466 507755075 893648932 1015510150 1117061165 2031020300 2234122330 4468244660 5585305825 11170611650 22341223300