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112240220 = 22519535573
BaseRepresentation
bin1101011000010…
…10011001011100
321211012101122012
412230022121130
5212213141340
615045410352
72532011651
oct654123134
9254171565
10112240220
11583a1814
12317099b8
131a33ac41
1410c99c28
159cc1565
hex6b0a65c

112240220 has 48 divisors (see below), whose sum is σ = 252836640. Its totient is φ = 41723136.

The previous prime is 112240213. The next prime is 112240223. The reversal of 112240220 is 22042211.

It is a junction number, because it is equal to n+sod(n) for n = 112240195 and 112240204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112240223) 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, 17354 + ... + 22926.

It is an arithmetic number, because the mean of its divisors is an integer number (5267430).

Almost surely, 2112240220 is an apocalyptic number.

112240220 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 112240220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126418320).

112240220 is an abundant number, since it is smaller than the sum of its proper divisors (140596420).

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

112240220 is a wasteful number, since it uses less digits than its factorization.

112240220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5654 (or 5652 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 112240220 is about 10594.3484934186. The cubic root of 112240220 is about 482.3728283958.

Adding to 112240220 its reverse (22042211), we get a palindrome (134282431).

The spelling of 112240220 in words is "one hundred twelve million, two hundred forty thousand, two hundred twenty".

Divisors: 1 2 4 5 10 19 20 38 53 76 95 106 190 212 265 380 530 1007 1060 2014 4028 5035 5573 10070 11146 20140 22292 27865 55730 105887 111460 211774 295369 423548 529435 590738 1058870 1181476 1476845 2117740 2953690 5612011 5907380 11224022 22448044 28060055 56120110 112240220