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22634299809 = 32112472972
BaseRepresentation
bin10101000101000111…
…000000000110100001
32011102102102120020100
4111011013000012201
5332323340043214
614221551333013
71430620242162
oct250507000641
964372376210
1022634299809
119665521500
124478221169
132199399a14
14114a0d5769
158c7174309
hex5451c01a1

22634299809 has 81 divisors (see below), whose sum is σ = 37099669971. Its totient is φ = 13287479040.

The previous prime is 22634299801. The next prime is 22634299811. The reversal of 22634299809 is 90899243622.

The square root of 22634299809 is 150447.

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

It can be written as a sum of positive squares in only one way, i.e., 10163664225 + 12470635584 = 100815^2 + 111672^2 .

It is not a de Polignac number, because 22634299809 - 23 = 22634299801 is a prime.

It is a super-4 number, since 4×226342998094 (a number of 43 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (22634299801) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 233343249 + ... + 233343345.

Almost surely, 222634299809 is an apocalyptic number.

22634299809 is the 150447-th square number.

22634299809 is the 75224-th centered octagonal number.

It is an amenable number.

22634299809 is a deficient number, since it is larger than the sum of its proper divisors (14465370162).

22634299809 is an equidigital number, since it uses as much as digits as its factorization.

22634299809 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 54.

The spelling of 22634299809 in words is "twenty-two billion, six hundred thirty-four million, two hundred ninety-nine thousand, eight hundred nine".

Divisors: 1 3 9 11 33 47 97 99 121 141 291 363 423 517 873 1067 1089 1551 2209 3201 4559 4653 5687 6627 9409 9603 11737 13677 17061 19881 24299 28227 35211 41031 50149 51183 72897 84681 103499 105633 150447 214273 218691 267289 310497 442223 451341 551639 642819 801867 931491 1138489 1326669 1654917 1928457 2357003 2405601 3415467 3980007 4864453 4964751 7071009 10246401 14593359 20784481 21213027 25927033 43780077 53508983 62353443 77781099 160526949 187060329 228629291 233343297 481580847 685887873 2057663619 2514922201 7544766603 22634299809