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220113220 = 225234710181
BaseRepresentation
bin11010001111010…
…10100101000100
3120100011220120111
431013222211010
5422322110340
633501442404
75311634335
oct1507524504
9510156514
10220113220
11103280358
1261870404
13367aa112
142133a28c
15144cdaea
hexd1ea944

220113220 has 48 divisors (see below), whose sum is σ = 492645888. Its totient is φ = 82417280.

The previous prime is 220113203. The next prime is 220113221. The reversal of 220113220 is 22311022.

It is a self number, because there is not a number n which added to its sum of digits gives 220113220.

It is not an unprimeable number, because it can be changed into a prime (220113221) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 16530 + ... + 26710.

It is an arithmetic number, because the mean of its divisors is an integer number (10263456).

Almost surely, 2220113220 is an apocalyptic number.

220113220 is a gapful number since it is divisible by the number (20) 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 220113220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246322944).

220113220 is an abundant number, since it is smaller than the sum of its proper divisors (272532668).

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

220113220 is a wasteful number, since it uses less digits than its factorization.

220113220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10260 (or 10258 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 220113220 is about 14836.2131286929. The cubic root of 220113220 is about 603.7846146640.

Adding to 220113220 its reverse (22311022), we get a palindrome (242424242).

The spelling of 220113220 in words is "two hundred twenty million, one hundred thirteen thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 23 46 47 92 94 115 188 230 235 460 470 940 1081 2162 4324 5405 10181 10810 20362 21620 40724 50905 101810 203620 234163 468326 478507 936652 957014 1170815 1914028 2341630 2392535 4683260 4785070 9570140 11005661 22011322 44022644 55028305 110056610 220113220