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112200220 = 225112232287
BaseRepresentation
bin1101011000000…
…00101000011100
321211010100202201
412230000220130
5212210401340
615044501244
72531454226
oct654005034
9254110681
10112200220
1158374760
12316aa824
131a325982
1410c89416
159cb479a
hex6b00a1c

112200220 has 48 divisors (see below), whose sum is σ = 258306048. Its totient is φ = 40599360.

The previous prime is 112200173. The next prime is 112200227. The reversal of 112200220 is 22002211.

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 = 112200197 and 112200206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112200227) 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, 47917 + ... + 50203.

It is an arithmetic number, because the mean of its divisors is an integer number (5381376).

Almost surely, 2112200220 is an apocalyptic number.

112200220 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 112200220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129153024).

112200220 is an abundant number, since it is smaller than the sum of its proper divisors (146105828).

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

112200220 is a wasteful number, since it uses less digits than its factorization.

112200220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2530 (or 2528 counting only the distinct ones).

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

The square root of 112200220 is about 10592.4605262422. The cubic root of 112200220 is about 482.3155191542.

Adding to 112200220 its reverse (22002211), we get a palindrome (134202431).

It can be divided in two parts, 1 and 12200220, that added together give a palindrome (12200221).

The spelling of 112200220 in words is "one hundred twelve million, two hundred thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 223 446 892 1115 2230 2287 2453 4460 4574 4906 9148 9812 11435 12265 22870 24530 25157 45740 49060 50314 100628 125785 251570 503140 510001 1020002 2040004 2550005 5100010 5610011 10200020 11220022 22440044 28050055 56100110 112200220