Search a number
-
+
22305023021125 = 531328156538641
BaseRepresentation
bin1010001001001010010101…
…11110010101000001000101
32220222100011101221021222101
411010211022332111001011
510410421141343134000
6115234441445032101
74461325156310635
oct504451276250105
986870141837871
1022305023021125
11711a564006249
122602a430b5631
13c5a47c205b50
145717d6dc46c5
1528a3114c4e6a
hex14494af95045

22305023021125 has 64 divisors (see below), whose sum is σ = 30093438158784. Its totient is φ = 16407982080000.

The previous prime is 22305023021123. The next prime is 22305023021219. The reversal of 22305023021125 is 52112032050322.

It can be written as a sum of positive squares in 32 ways, for example, as 22149438529761 + 155584491364 = 4706319^2 + 394442^2 .

It is not a de Polignac number, because 22305023021125 - 21 = 22305023021123 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 22305023021093 and 22305023021102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22305023021123) 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 63 ways as a sum of consecutive naturals, for example, 2581296805 + ... + 2581305445.

It is an arithmetic number, because the mean of its divisors is an integer number (470209971231).

Almost surely, 222305023021125 is an apocalyptic number.

22305023021125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

22305023021125 is a deficient number, since it is larger than the sum of its proper divisors (7788415137659).

22305023021125 is a wasteful number, since it uses less digits than its factorization.

22305023021125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14603 (or 14593 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 28.

Adding to 22305023021125 its reverse (52112032050322), we get a palindrome (74417055071447).

The spelling of 22305023021125 in words is "twenty-two trillion, three hundred five billion, twenty-three million, twenty-one thousand, one hundred twenty-five".

Divisors: 1 5 13 25 65 125 281 325 1405 1625 3653 5653 7025 8641 18265 28265 35125 43205 73489 91325 112333 141325 216025 367445 456625 561665 706625 1080125 1588493 1837225 2428121 2808325 7942465 9186125 12140605 14041625 20650409 31565573 39712325 48847573 60703025 103252045 157827865 198561625 244237865 303515125 516260225 635018449 789139325 1221189325 2581301125 3175092245 3945696625 6105946625 13726168013 15875461225 68630840065 79377306125 178440184169 343154200325 892200920845 1715771001625 4461004604225 22305023021125