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226762249 = 725387317
BaseRepresentation
bin11011000010000…
…01111000001001
3120210200201022211
431201001320021
5431022342444
634300145121
75422306300
oct1541017011
9523621284
10226762249
1110700191a
1263b381a1
1337c9765c
142218b437
1514d93c34
hexd841e09

226762249 has 12 divisors (see below), whose sum is σ = 268764804. Its totient is φ = 190698144.

The previous prime is 226762213. The next prime is 226762259. The reversal of 226762249 is 942267622.

It can be written as a sum of positive squares in 2 ways, for example, as 106750224 + 120012025 = 10332^2 + 10955^2 .

It is not a de Polignac number, because 226762249 - 29 = 226761737 is a prime.

It is a super-2 number, since 2×2267622492 = 102842235143076002, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (226762259) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 41062 + ... + 46255.

It is an arithmetic number, because the mean of its divisors is an integer number (22397067).

Almost surely, 2226762249 is an apocalyptic number.

It is an amenable number.

226762249 is a deficient number, since it is larger than the sum of its proper divisors (42002555).

226762249 is an equidigital number, since it uses as much as digits as its factorization.

226762249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87384 (or 87377 counting only the distinct ones).

The product of its digits is 145152, while the sum is 40.

The square root of 226762249 is about 15058.6270622524. The cubic root of 226762249 is about 609.8039762512.

It can be divided in two parts, 2267 and 62249, that added together give a square (64516 = 2542).

The spelling of 226762249 in words is "two hundred twenty-six million, seven hundred sixty-two thousand, two hundred forty-nine".

Divisors: 1 7 49 53 371 2597 87317 611219 4278533 4627801 32394607 226762249