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112211220 = 2235111773137
BaseRepresentation
bin1101011000000…
…11010100010100
321211010220212010
412230003110110
5212211224340
615045024220
72531531262
oct654032424
9254126763
10112211220
1158381a50
12316b5070
131a32a994
1410c8d432
159cb7b80
hex6b03514

112211220 has 192 divisors, whose sum is σ = 370573056. Its totient is φ = 25067520.

The previous prime is 112211189. The next prime is 112211243. The reversal of 112211220 is 22112211.

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

It is a junction number, because it is equal to n+sod(n) for n = 112211196 and 112211205.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 818992 + ... + 819128.

It is an arithmetic number, because the mean of its divisors is an integer number (1930068).

Almost surely, 2112211220 is an apocalyptic number.

112211220 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 112211220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185286528).

112211220 is an abundant number, since it is smaller than the sum of its proper divisors (258361836).

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

112211220 is a wasteful number, since it uses less digits than its factorization.

112211220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 112211220 is about 10592.9797507595. The cubic root of 112211220 is about 482.3312805533.

Adding to 112211220 its reverse (22112211), we get a palindrome (134323431).

Subtracting from 112211220 its reverse (22112211), we obtain a palindrome (90099009).

It can be divided in two parts, 1 and 12211220, that added together give a palindrome (12211221).

The spelling of 112211220 in words is "one hundred twelve million, two hundred eleven thousand, two hundred twenty".