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226500625 = 541361457
BaseRepresentation
bin11011000000000…
…10000000010001
3120210012102110001
431200002000101
5430441010000
634250410001
75420136451
oct1540020021
9523172401
10226500625
111069432aa
1263a30901
1337c05550
142211dd61
1514d4146a
hexd802011

226500625 has 40 divisors (see below), whose sum is σ = 310481864. Its totient is φ = 164160000.

The previous prime is 226500613. The next prime is 226500647. The reversal of 226500625 is 526005622.

It can be written as a sum of positive squares in 20 ways, for example, as 218921616 + 7579009 = 14796^2 + 2753^2 .

It is not a de Polignac number, because 226500625 - 27 = 226500497 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 226500593 and 226500602.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 495397 + ... + 495853.

Almost surely, 2226500625 is an apocalyptic number.

226500625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

226500625 is a deficient number, since it is larger than the sum of its proper divisors (83981239).

226500625 is an equidigital number, since it uses as much as digits as its factorization.

226500625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 551 (or 536 counting only the distinct ones).

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

The square root of 226500625 is about 15049.9377075123. The cubic root of 226500625 is about 609.5693681965.

The spelling of 226500625 in words is "two hundred twenty-six million, five hundred thousand, six hundred twenty-five".

Divisors: 1 5 13 25 61 65 125 305 325 457 625 793 1525 1625 2285 3965 5941 7625 8125 11425 19825 27877 29705 38125 57125 99125 139385 148525 285625 362401 495625 696925 742625 1812005 3484625 3713125 9060025 17423125 45300125 226500625