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22225304000 = 26533118933
BaseRepresentation
bin10100101100101110…
…110011100111000000
32010100220211102110102
4110230232303213000
5331004134212000
614113221221532
71414522652444
oct245456634700
963326742412
1022225304000
119475671939
1243832618a8
132132728973
14110ba6c824
158a12d53d5
hex52cbb39c0

22225304000 has 112 divisors (see below), whose sum is σ = 55224127296. Its totient is φ = 8860544000.

The previous prime is 22225303999. The next prime is 22225304011. The reversal of 22225304000 is 40352222.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2483534 + ... + 2492466.

Almost surely, 222225304000 is an apocalyptic number.

22225304000 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 22225304000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27612063648).

22225304000 is an abundant number, since it is smaller than the sum of its proper divisors (32998823296).

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

22225304000 is an equidigital number, since it uses as much as digits as its factorization.

22225304000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9271 (or 9251 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 20.

Adding to 22225304000 its reverse (40352222), we get a palindrome (22265656222).

The spelling of 22225304000 in words is "twenty-two billion, two hundred twenty-five million, three hundred four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 311 320 400 500 622 800 1000 1244 1555 1600 2000 2488 3110 4000 4976 6220 7775 8000 8933 9952 12440 15550 17866 19904 24880 31100 35732 38875 44665 49760 62200 71464 77750 89330 99520 124400 142928 155500 178660 223325 248800 285856 311000 357320 446650 497600 571712 622000 714640 893300 1116625 1244000 1429280 1786600 2233250 2488000 2778163 2858560 3573200 4466500 5556326 7146400 8933000 11112652 13890815 14292800 17866000 22225304 27781630 35732000 44450608 55563260 69454075 71464000 88901216 111126520 138908150 177802432 222253040 277816300 347270375 444506080 555632600 694540750 889012160 1111265200 1389081500 2222530400 2778163000 4445060800 5556326000 11112652000 22225304000