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22140625 = 5613109
BaseRepresentation
bin101010001110…
…1011011010001
31112122212020011
41110131123101
521132000000
62110314521
7356122633
oct124353321
945585204
1022140625
1111552641
1274b8a41
134782880
142d24a53
151e252ba
hex151d6d1

22140625 has 28 divisors (see below), whose sum is σ = 30077740. Its totient is φ = 16200000.

The previous prime is 22140623. The next prime is 22140631. The reversal of 22140625 is 52604122.

22140625 = T1046 + T1047 + ... + T1084.

It can be written as a sum of positive squares in 14 ways, for example, as 16679056 + 5461569 = 4084^2 + 2337^2 .

It is not a de Polignac number, because 22140625 - 21 = 22140623 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 22140596 and 22140605.

It is not an unprimeable number, because it can be changed into a prime (22140623) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 203071 + ... + 203179.

It is an arithmetic number, because the mean of its divisors is an integer number (1074205).

Almost surely, 222140625 is an apocalyptic number.

22140625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

22140625 is a deficient number, since it is larger than the sum of its proper divisors (7937115).

22140625 is an frugal number, since it uses more digits than its factorization.

22140625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 22140625 is about 4705.3825561797. The cubic root of 22140625 is about 280.7996909180.

Adding to 22140625 its reverse (52604122), we get a palindrome (74744747).

The spelling of 22140625 in words is "twenty-two million, one hundred forty thousand, six hundred twenty-five".

Divisors: 1 5 13 25 65 109 125 325 545 625 1417 1625 2725 3125 7085 8125 13625 15625 35425 40625 68125 177125 203125 340625 885625 1703125 4428125 22140625