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112422240 = 25325719587
BaseRepresentation
bin1101011001101…
…10110101100000
321211112122022200
412230312311200
5212240002430
615053333200
72533400430
oct654666540
9254478280
10112422240
1158506547
1231797200
131a3a2a48
1410d062c0
159d0a460
hex6b36d60

112422240 has 288 divisors, whose sum is σ = 462309120. Its totient is φ = 24302592.

The previous prime is 112422217. The next prime is 112422251. The reversal of 112422240 is 42224211.

112422240 is a `hidden beast` number, since 1 + 1 + 2 + 422 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 191227 + ... + 191813.

It is an arithmetic number, because the mean of its divisors is an integer number (1605240).

Almost surely, 2112422240 is an apocalyptic number.

112422240 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 112422240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231154560).

112422240 is an abundant number, since it is smaller than the sum of its proper divisors (349886880).

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

112422240 is a wasteful number, since it uses less digits than its factorization.

112422240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 634 (or 623 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 112422240 is about 10602.9354426027. The cubic root of 112422240 is about 482.6334422898.

Adding to 112422240 its reverse (42224211), we get a palindrome (154646451).

The spelling of 112422240 in words is "one hundred twelve million, four hundred twenty-two thousand, two hundred forty".