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22225104066 = 23112129723603
BaseRepresentation
bin10100101100101110…
…000010110011000010
32010100220110021012110
4110230232002303002
5331004111312231
614113213040150
71414521160524
oct245456026302
963326407173
1022225104066
119475545700
124383186056
132132688969
14110ba19a14
158a1296046
hex52cb82cc2

22225104066 has 48 divisors (see below), whose sum is σ = 48898235232. Its totient is φ = 6729402240.

The previous prime is 22225104059. The next prime is 22225104089. The reversal of 22225104066 is 66040152222.

It is a happy number.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 929821 + ... + 953423.

It is an arithmetic number, because the mean of its divisors is an integer number (1018713234).

Almost surely, 222225104066 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22225104066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24449117616).

22225104066 is an abundant number, since it is smaller than the sum of its proper divisors (26673131166).

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

22225104066 is a wasteful number, since it uses less digits than its factorization.

22225104066 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24927 (or 24916 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

Adding to 22225104066 its reverse (66040152222), we get a palindrome (88265256288).

The spelling of 22225104066 in words is "twenty-two billion, two hundred twenty-five million, one hundred four thousand, sixty-six".

Divisors: 1 2 3 6 11 22 33 66 121 242 363 726 1297 2594 3891 7782 14267 23603 28534 42801 47206 70809 85602 141618 156937 259633 313874 470811 519266 778899 941622 1557798 2855963 5711926 8567889 17135778 30613091 61226182 91839273 183678546 336744001 673488002 1010232003 2020464006 3704184011 7408368022 11112552033 22225104066