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220306104 = 233213922013
BaseRepresentation
bin11010010000110…
…01101010111000
3120100112201011100
431020121222320
5422344243404
633505531400
75313366564
oct1510315270
9510481140
10220306104
111033a2267
1261943b60
1336846b55
142138a6a4
151451ad39
hexd219ab8

220306104 has 48 divisors (see below), whose sum is σ = 600982200. Its totient is φ = 72903744.

The previous prime is 220306091. The next prime is 220306123. The reversal of 220306104 is 401603022.

It is a happy number.

220306104 is a `hidden beast` number, since 2 + 20 + 30 + 610 + 4 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 999 + ... + 21014.

Almost surely, 2220306104 is an apocalyptic number.

220306104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220306104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300491100).

220306104 is an abundant number, since it is smaller than the sum of its proper divisors (380676096).

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

220306104 is a wasteful number, since it uses less digits than its factorization.

220306104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22164 (or 22157 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 220306104 is about 14842.7121510861. The cubic root of 220306104 is about 603.9609275486.

Adding to 220306104 its reverse (401603022), we get a palindrome (621909126).

The spelling of 220306104 in words is "two hundred twenty million, three hundred six thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 139 278 417 556 834 1112 1251 1668 2502 3336 5004 10008 22013 44026 66039 88052 132078 176104 198117 264156 396234 528312 792468 1584936 3059807 6119614 9179421 12239228 18358842 24478456 27538263 36717684 55076526 73435368 110153052 220306104