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22276458009 = 32132432892
BaseRepresentation
bin10100101111110001…
…111100011000011001
32010111111002022120100
4110233301330120121
5331110233124014
614122245450013
71416013524501
oct245761743031
963444068510
1022276458009
1194a1530683
124398410909
1321401c9400
141114786a01
158a5a3c009
hex52fc7c619

22276458009 has 81 divisors (see below), whose sum is σ = 36077113917. Its totient is φ = 13239338112.

The previous prime is 22276457939. The next prime is 22276458013. The reversal of 22276458009 is 90085467222.

The square root of 22276458009 is 149253.

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

22276458009 is a `hidden beast` number, since 2 + 2 + 2 + 7 + 64 + 580 + 0 + 9 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 9738729225 + 12537728784 = 98685^2 + 111972^2 .

It is not a de Polignac number, because 22276458009 - 223 = 22268069401 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (22276458109) 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, 250297237 + ... + 250297325.

Almost surely, 222276458009 is an apocalyptic number.

22276458009 is the 149253-rd square number.

22276458009 is the 74627-th centered octagonal number.

It is an amenable number.

22276458009 is a deficient number, since it is larger than the sum of its proper divisors (13800655908).

22276458009 is an equidigital number, since it uses as much as digits as its factorization.

22276458009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 22276458009 in words is "twenty-two billion, two hundred seventy-six million, four hundred fifty-eight thousand, nine".

Divisors: 1 3 9 13 39 43 89 117 129 169 267 387 507 559 801 1157 1521 1677 1849 3471 3827 5031 5547 7267 7921 10413 11481 15041 16641 21801 23763 24037 34443 45123 49751 65403 71289 72111 102973 135369 149253 164561 216333 308919 312481 340603 447759 493683 646763 926757 937443 1021809 1338649 1481049 1940289 2139293 2812329 3065427 4015947 4427839 5820867 6417879 12047841 13283517 14645929 19253637 27810809 39850551 43937787 57561907 83432427 131813361 172685721 190397077 250297281 518057163 571191231 1713573693 2475162001 7425486003 22276458009