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22580225 = 521137993
BaseRepresentation
bin101011000100…
…0110000000001
31120111012020122
41112020300001
521240031400
62123550025
7362633363
oct126106001
946435218
1022580225
1111822948
12768b315
1348a79a5
142ddad33
151eb0685
hex1588c01

22580225 has 12 divisors (see below), whose sum is σ = 28250796. Its totient is φ = 17902080.

The previous prime is 22580221. The next prime is 22580269. The reversal of 22580225 is 52208522.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 9591409 + 12988816 = 3097^2 + 3604^2 .

It is not a de Polignac number, because 22580225 - 22 = 22580221 is a prime.

It is a super-2 number, since 2×225802252 = 1019733122101250, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 22580194 and 22580203.

It is not an unprimeable number, because it can be changed into a prime (22580221) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1172 + ... + 6821.

It is an arithmetic number, because the mean of its divisors is an integer number (2354233).

Almost surely, 222580225 is an apocalyptic number.

22580225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

22580225 is a deficient number, since it is larger than the sum of its proper divisors (5670571).

22580225 is a wasteful number, since it uses less digits than its factorization.

22580225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8116 (or 8111 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 26.

The square root of 22580225 is about 4751.8654231786. The cubic root of 22580225 is about 282.6459422909.

Adding to 22580225 its reverse (52208522), we get a palindrome (74788747).

The spelling of 22580225 in words is "twenty-two million, five hundred eighty thousand, two hundred twenty-five".

Divisors: 1 5 25 113 565 2825 7993 39965 199825 903209 4516045 22580225