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220013112 = 233114319381
BaseRepresentation
bin11010001110100…
…10001000111000
3120022222211020210
431013102020320
5422310404422
633455351120
75311036434
oct1507221070
9508884223
10220013112
11103212120
12618224a0
1336773697
14213119c4
15144ae10c
hexd1d2238

220013112 has 64 divisors (see below), whose sum is σ = 614021760. Its totient is φ = 65116800.

The previous prime is 220013089. The next prime is 220013113. The reversal of 220013112 is 211310022.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220013113) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1662 + ... + 21042.

It is an arithmetic number, because the mean of its divisors is an integer number (9594090).

Almost surely, 2220013112 is an apocalyptic number.

220013112 is a gapful number since it is divisible by the number (22) 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 220013112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307010880).

220013112 is an abundant number, since it is smaller than the sum of its proper divisors (394008648).

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

220013112 is a wasteful number, since it uses less digits than its factorization.

It is an anagram of its base 11 representation: 220013112 = (103212120)11.

220013112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19444 (or 19440 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 220013112 is about 14832.8389730355. The cubic root of 220013112 is about 603.6930665722.

Adding to 220013112 its reverse (211310022), we get a palindrome (431323134).

The spelling of 220013112 in words is "two hundred twenty million, thirteen thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 43 44 66 86 88 129 132 172 258 264 344 473 516 946 1032 1419 1892 2838 3784 5676 11352 19381 38762 58143 77524 116286 155048 213191 232572 426382 465144 639573 833383 852764 1279146 1666766 1705528 2500149 2558292 3333532 5000298 5116584 6667064 9167213 10000596 18334426 20001192 27501639 36668852 55003278 73337704 110006556 220013112