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112209240 = 233511132503
BaseRepresentation
bin1101011000000…
…10110101011000
321211010211010210
412230002311120
5212211143430
615045011120
72531522433
oct654026530
9254124123
10112209240
1158380510
12316b3aa0
131a329b00
1410c8c81a
159cb72b0
hex6b02d58

112209240 has 192 divisors, whose sum is σ = 398442240. Its totient is φ = 25059840.

The previous prime is 112209221. The next prime is 112209241. The reversal of 112209240 is 42902211.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112209241) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 222829 + ... + 223331.

It is an arithmetic number, because the mean of its divisors is an integer number (2075220).

Almost surely, 2112209240 is an apocalyptic number.

112209240 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 112209240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199221120).

112209240 is an abundant number, since it is smaller than the sum of its proper divisors (286233000).

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

112209240 is a wasteful number, since it uses less digits than its factorization.

112209240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 554 (or 537 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 112209240 is about 10592.8862922246. The cubic root of 112209240 is about 482.3284435774.

It can be divided in two parts, 11220 and 9240, that multiplied together give a triangular number (103672800 = T14399).

The spelling of 112209240 in words is "one hundred twelve million, two hundred nine thousand, two hundred forty".