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112022200 = 23523111801
BaseRepresentation
bin1101010110101…
…01001010111000
321210210022120101
412223111022320
5212134202300
615041005144
72530113223
oct653251270
9253708511
10112022200
1158262a34
12316237b4
131a292934
1410c405ba
159c7bb6a
hex6ad52b8

112022200 has 48 divisors (see below), whose sum is σ = 261434160. Its totient is φ = 44640000.

The previous prime is 112022177. The next prime is 112022201. The reversal of 112022200 is 2220211.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112022201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 61300 + ... + 63100.

It is an arithmetic number, because the mean of its divisors is an integer number (5446545).

Almost surely, 2112022200 is an apocalyptic number.

112022200 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 112022200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130717080).

112022200 is an abundant number, since it is smaller than the sum of its proper divisors (149411960).

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

112022200 is a wasteful number, since it uses less digits than its factorization.

112022200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2128 (or 2119 counting only the distinct ones).

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

The square root of 112022200 is about 10584.0540437018. The cubic root of 112022200 is about 482.0602990395.

Adding to 112022200 its reverse (2220211), we get a palindrome (114242411).

The spelling of 112022200 in words is "one hundred twelve million, twenty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 311 622 1244 1555 1801 2488 3110 3602 6220 7204 7775 9005 12440 14408 15550 18010 31100 36020 45025 62200 72040 90050 180100 360200 560111 1120222 2240444 2800555 4480888 5601110 11202220 14002775 22404440 28005550 56011100 112022200