Search a number
-
+
22312225124225 = 529711177823201
BaseRepresentation
bin1010001001010111110000…
…10000001010111110000001
32221000000202022222001002122
411010223320100022332001
510411030414112433400
6115242032243054025
74462001511214031
oct504537020127601
987000668861078
1022312225124225
11712261a449973
122604313071315
13c5b05935140a
14571cbb70d8c1
1528a5d3911685
hex144af840af81

22312225124225 has 24 divisors (see below), whose sum is σ = 27954922442328. Its totient is φ = 17664159744000.

The previous prime is 22312225124197. The next prime is 22312225124291. The reversal of 22312225124225 is 52242152221322.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 2153121891904 + 20159103232321 = 1467352^2 + 4489889^2 .

It is not a de Polignac number, because 22312225124225 - 244 = 4720039079809 is a prime.

It is a super-3 number, since 3×223122251242253 (a number of 41 digits) contains 333 as substring.

It is a Duffinian number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 26692625 + ... + 27515825.

It is an arithmetic number, because the mean of its divisors is an integer number (1164788435097).

Almost surely, 222312225124225 is an apocalyptic number.

22312225124225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

22312225124225 is a deficient number, since it is larger than the sum of its proper divisors (5642697318103).

22312225124225 is a wasteful number, since it uses less digits than its factorization.

22312225124225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 834485 (or 834480 counting only the distinct ones).

The product of its digits is 76800, while the sum is 35.

Adding to 22312225124225 its reverse (52242152221322), we get a palindrome (74554377345547).

The spelling of 22312225124225 in words is "twenty-two trillion, three hundred twelve billion, two hundred twenty-five million, one hundred twenty-four thousand, two hundred twenty-five".

Divisors: 1 5 25 97 485 2425 11177 55885 279425 823201 1084169 4116005 5420845 20580025 27104225 79850497 399252485 1996262425 9200917577 46004587885 230022939425 892489004969 4462445024845 22312225124225