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22530502305 = 3251783354839
BaseRepresentation
bin10100111110111011…
…000010111010100001
32011011012010002211100
4110332323002322201
5332120302033210
614203402505013
71425220052433
oct247673027241
964135102740
1022530502305
119611976943
124449505169
132180a2688c
14113a3d6653
158bcebe5c0
hex53eec2ea1

22530502305 has 48 divisors (see below), whose sum is σ = 41848410240. Its totient is φ = 11173138944.

The previous prime is 22530502303. The next prime is 22530502343. The reversal of 22530502305 is 50320503522.

It is not a de Polignac number, because 22530502305 - 21 = 22530502303 is a prime.

It is a super-2 number, since 2×225305023052 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (22530502303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 113925 + ... + 240914.

It is an arithmetic number, because the mean of its divisors is an integer number (871841880).

Almost surely, 222530502305 is an apocalyptic number.

It is an amenable number.

22530502305 is a deficient number, since it is larger than the sum of its proper divisors (19317907935).

22530502305 is a wasteful number, since it uses less digits than its factorization.

22530502305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354950 (or 354947 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 27.

The spelling of 22530502305 in words is "twenty-two billion, five hundred thirty million, five hundred two thousand, three hundred five".

Divisors: 1 3 5 9 15 17 45 51 83 85 153 249 255 415 747 765 1245 1411 3735 4233 7055 12699 21165 63495 354839 1064517 1774195 3193551 5322585 6032263 15967755 18096789 29451637 30161315 54290367 88354911 90483945 147258185 265064733 271451835 441774555 500677829 1325323665 1502033487 2503389145 4506100461 7510167435 22530502305