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226563651145 = 51344915974861
BaseRepresentation
bin1101001100000000111…
…1101111011001001001
3210122210121110222102201
43103000033233121021
512203000243314040
6252025405200201
722240313155036
oct3230017573111
9718717428381
10226563651145
11880a33024a7
1237aab860061
13184987a2750
14ad73dba38d
155d60565a9a
hex34c03ef649

226563651145 has 32 divisors (see below), whose sum is σ = 293686192800. Its totient is φ = 166797066240.

The previous prime is 226563651137. The next prime is 226563651157. The reversal of 226563651145 is 541156365622.

226563651145 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 16 ways, for example, as 54913360896 + 171650290249 = 234336^2 + 414307^2 .

It is not a de Polignac number, because 226563651145 - 23 = 226563651137 is a prime.

It is a super-2 number, since 2×2265636511452 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 226563651095 and 226563651104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 46606015 + ... + 46610875.

It is an arithmetic number, because the mean of its divisors is an integer number (9177693525).

Almost surely, 2226563651145 is an apocalyptic number.

It is an amenable number.

226563651145 is a deficient number, since it is larger than the sum of its proper divisors (67122541655).

226563651145 is a wasteful number, since it uses less digits than its factorization.

226563651145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6925.

The product of its digits is 1296000, while the sum is 46.

The spelling of 226563651145 in words is "two hundred twenty-six billion, five hundred sixty-three million, six hundred fifty-one thousand, one hundred forty-five".

Divisors: 1 5 13 65 449 1597 2245 4861 5837 7985 20761 24305 29185 63193 103805 315965 717053 2182589 3585265 7763017 9321689 10912945 28373657 38815085 46608445 100919221 141868285 504596105 3485594633 17427973165 45312730229 226563651145