Search a number
-
+
22757231025 = 32528921132
BaseRepresentation
bin10101001100011011…
…111100100110110001
32011201222202010011100
4111030123330212301
5333101322343100
614242102235013
71433642162214
oct251433744661
964658663140
1022757231025
119718955551
1244b1425a69
1321b89abb99
14115c57577b
158d2d58400
hex54c6fc9b1

22757231025 has 81 divisors (see below), whose sum is σ = 41591902339. Its totient is φ = 11894615040.

The previous prime is 22757231023. The next prime is 22757231041. The reversal of 22757231025 is 52013275722.

The square root of 22757231025 is 150855.

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

22757231025 is a `hidden beast` number, since 2 + 275 + 72 + 310 + 2 + 5 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 20218280481 + 2538950544 = 142191^2 + 50388^2 .

It is not a de Polignac number, because 22757231025 - 21 = 22757231023 is a prime.

It is a super-3 number, since 3×227572310253 (a number of 32 digits) contains 333 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (22757231023) 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, 201391369 + ... + 201391481.

Almost surely, 222757231025 is an apocalyptic number.

22757231025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

22757231025 is the 150855-th square number.

22757231025 is the 75428-th centered octagonal number.

It is an amenable number.

22757231025 is a deficient number, since it is larger than the sum of its proper divisors (18834671314).

22757231025 is an equidigital number, since it uses as much as digits as its factorization.

22757231025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 36.

Multiplying 22757231025 by its sum of digits (36), we get a square (819260316900 = 9051302).

The spelling of 22757231025 in words is "twenty-two billion, seven hundred fifty-seven million, two hundred thirty-one thousand, twenty-five".

Divisors: 1 3 5 9 15 25 45 75 89 113 225 267 339 445 565 801 1017 1335 1695 2225 2825 4005 5085 6675 7921 8475 10057 12769 20025 23763 25425 30171 38307 39605 50285 63845 71289 90513 114921 118815 150855 191535 198025 251425 319225 356445 452565 574605 594075 754275 895073 957675 1136441 1782225 2262825 2685219 2873025 3409323 4475365 5682205 8055657 10227969 13426095 17046615 22376825 28411025 40278285 51139845 67130475 85233075 101143249 201391425 255699225 303429747 505716245 910289241 1517148735 2528581225 4551446205 7585743675 22757231025