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22527125 = 531710601
BaseRepresentation
bin101010111101…
…1110010010101
31120101111101222
41111323302111
521231332000
62122500125
7362322515
oct125736225
946344358
1022527125
1111796a65
127664645
13488977a
142dc5845
151e9ea85
hex157bc95

22527125 has 16 divisors (see below), whose sum is σ = 29770416. Its totient is φ = 16960000.

The previous prime is 22527121. The next prime is 22527149. The reversal of 22527125 is 52172522.

It can be written as a sum of positive squares in 8 ways, for example, as 1495729 + 21031396 = 1223^2 + 4586^2 .

It is not a de Polignac number, because 22527125 - 22 = 22527121 is a prime.

It is a super-3 number, since 3×225271253 (a number of 23 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 22527094 and 22527103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22527121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3176 + ... + 7425.

It is an arithmetic number, because the mean of its divisors is an integer number (1860651).

Almost surely, 222527125 is an apocalyptic number.

22527125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

22527125 is a deficient number, since it is larger than the sum of its proper divisors (7243291).

22527125 is a wasteful number, since it uses less digits than its factorization.

22527125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10633 (or 10623 counting only the distinct ones).

The product of its digits is 2800, while the sum is 26.

The square root of 22527125 is about 4746.2748550837. The cubic root of 22527125 is about 282.4242102271.

Adding to 22527125 its reverse (52172522), we get a palindrome (74699647).

The spelling of 22527125 in words is "twenty-two million, five hundred twenty-seven thousand, one hundred twenty-five".

Divisors: 1 5 17 25 85 125 425 2125 10601 53005 180217 265025 901085 1325125 4505425 22527125