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2114224 = 24743439
BaseRepresentation
bin1000000100001010110000
310222102011121
420010022300
51020123344
6113152024
723653630
oct10041260
93872147
102114224
1112144a2
1285b614
13590428
143d06c0
152bb684
hex2042b0

2114224 has 40 divisors (see below), whose sum is σ = 4801280. Its totient is φ = 883008.

The previous prime is 2114221. The next prime is 2114227. The reversal of 2114224 is 4224112.

2114224 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2114221) and next prime (2114227).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 2114198 and 2114207.

It is not an unprimeable number, because it can be changed into a prime (2114221) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4597 + ... + 5035.

It is an arithmetic number, because the mean of its divisors is an integer number (120032).

22114224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2114224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2400640).

2114224 is an abundant number, since it is smaller than the sum of its proper divisors (2687056).

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

2114224 is a wasteful number, since it uses less digits than its factorization.

2114224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 497 (or 491 counting only the distinct ones).

The product of its digits is 128, while the sum is 16.

The square root of 2114224 is about 1454.0371384528. The cubic root of 2114224 is about 128.3463924793.

Adding to 2114224 its reverse (4224112), we get a palindrome (6338336).

The spelling of 2114224 in words is "two million, one hundred fourteen thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 43 56 86 112 172 301 344 439 602 688 878 1204 1756 2408 3073 3512 4816 6146 7024 12292 18877 24584 37754 49168 75508 132139 151016 264278 302032 528556 1057112 2114224