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220400226 = 23233893613
BaseRepresentation
bin11010010001100…
…00101001100010
3120100201111021100
431020300221202
5422410301401
633511535230
75314241154
oct1510605142
9510644240
10220400226
11103456a52
126198a516
133687a947
14213b2ad4
1514538b86
hexd230a62

220400226 has 24 divisors (see below), whose sum is σ = 477806940. Its totient is φ = 73424736.

The previous prime is 220400177. The next prime is 220400227. The reversal of 220400226 is 622004022.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 219188025 + 1212201 = 14805^2 + 1101^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 220400199 and 220400208.

It is not an unprimeable number, because it can be changed into a prime (220400227) 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, 59196 + ... + 62808.

Almost surely, 2220400226 is an apocalyptic number.

220400226 is an abundant number, since it is smaller than the sum of its proper divisors (257406714).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

220400226 is a wasteful number, since it uses less digits than its factorization.

220400226 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7010 (or 7007 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 220400226 is about 14845.8824594566. The cubic root of 220400226 is about 604.0469259479.

Adding to 220400226 its reverse (622004022), we get a palindrome (842404248).

The spelling of 220400226 in words is "two hundred twenty million, four hundred thousand, two hundred twenty-six".

Divisors: 1 2 3 6 9 18 3389 3613 6778 7226 10167 10839 20334 21678 30501 32517 61002 65034 12244457 24488914 36733371 73466742 110200113 220400226