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22650551001 = 321321722272
BaseRepresentation
bin10101000110000100…
…111111101011011001
32011110120000012200100
4111012010333223121
5332342020113001
614223331530013
71431205335561
oct250604775331
964416005610
1022650551001
119673711241
124481759909
13219c869a00
14114c325da1
158c87d4586
hex54613fad9

22650551001 has 81 divisors (see below), whose sum is σ = 37800880221. Its totient is φ = 13061078784.

The previous prime is 22650550991. The next prime is 22650551003. The reversal of 22650551001 is 10015505622.

The square root of 22650551001 is 150501.

It is a perfect power (a square), and thus also a powerful number.

22650551001 is a `hidden beast` number, since 2 + 2 + 650 + 5 + 5 + 1 + 0 + 0 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 204518601 + 22446032400 = 14301^2 + 149820^2 .

It is not a de Polignac number, because 22650551001 - 25 = 22650550969 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (22650551003) 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 80 ways as a sum of consecutive naturals, for example, 99782050 + ... + 99782276.

Almost surely, 222650551001 is an apocalyptic number.

22650551001 is the 150501-st square number.

22650551001 is the 75251-st centered octagonal number.

It is an amenable number.

22650551001 is a deficient number, since it is larger than the sum of its proper divisors (15150329220).

22650551001 is a wasteful number, since it uses less digits than its factorization.

22650551001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 520 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

The spelling of 22650551001 in words is "twenty-two billion, six hundred fifty million, five hundred fifty-one thousand, one".

Divisors: 1 3 9 13 17 39 51 117 153 169 221 227 289 507 663 681 867 1521 1989 2043 2601 2873 2951 3757 3859 8619 8853 11271 11577 25857 26559 33813 34731 38363 48841 50167 51529 65603 115089 146523 150501 154587 196809 345267 439569 451503 463761 590427 652171 669877 852839 875993 1956513 2009631 2558517 2627979 5869539 6028893 7675551 7883937 8708401 11086907 11387909 14891881 26125203 33260721 34163727 44675643 78375609 99782163 102491181 134026929 148042817 193594453 444128451 580783359 1332385353 1742350077 2516727889 7550183667 22650551001