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112220020 = 225114710853
BaseRepresentation
bin1101011000001…
…01011101110100
321211011100221001
412230011131310
5212212020040
615045133044
72531566033
oct654053564
9254140831
10112220020
1158388620
12316ba184
131a3319a3
1410c9271a
159cba59a
hex6b05774

112220020 has 48 divisors (see below), whose sum is σ = 262579968. Its totient is φ = 39935360.

The previous prime is 112219999. The next prime is 112220021. The reversal of 112220020 is 20022211.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 112219979 and 112220006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112220021) 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, 4914 + ... + 15766.

It is an arithmetic number, because the mean of its divisors is an integer number (5470416).

Almost surely, 2112220020 is an apocalyptic number.

112220020 is a gapful number since it is divisible by the number (10) 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 112220020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131289984).

112220020 is an abundant number, since it is smaller than the sum of its proper divisors (150359948).

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

112220020 is a wasteful number, since it uses less digits than its factorization.

112220020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10920 (or 10918 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 112220020 is about 10593.3951120498. The cubic root of 112220020 is about 482.3438889309.

Adding to 112220020 its reverse (20022211), we get a palindrome (132242231).

The spelling of 112220020 in words is "one hundred twelve million, two hundred twenty thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 47 55 94 110 188 220 235 470 517 940 1034 2068 2585 5170 10340 10853 21706 43412 54265 108530 119383 217060 238766 477532 510091 596915 1020182 1193830 2040364 2387660 2550455 5100910 5611001 10201820 11222002 22444004 28055005 56110010 112220020