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1225224 = 23327111317
BaseRepresentation
bin100101011001000001000
32022020200200
410223020020
5303201344
642132200
713262040
oct4531010
92266620
101225224
11767590
124b1060
1333b8b0
1423c720
15193069
hex12b208

1225224 has 192 divisors, whose sum is σ = 4717440. Its totient is φ = 276480.

The previous prime is 1225223. The next prime is 1225261. The reversal of 1225224 is 4225221.

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

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 1225197 and 1225206.

It is not an unprimeable number, because it can be changed into a prime (1225223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 72064 + ... + 72080.

It is an arithmetic number, because the mean of its divisors is an integer number (24570).

21225224 is an apocalyptic number.

1225224 is a gapful number since it is divisible by the number (14) 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 1225224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2358720).

1225224 is an abundant number, since it is smaller than the sum of its proper divisors (3492216).

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

1225224 is a wasteful number, since it uses less digits than its factorization.

1225224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60 (or 53 counting only the distinct ones).

The product of its digits is 320, while the sum is 18.

The square root of 1225224 is about 1106.8983693185. The cubic root of 1225224 is about 107.0052694875.

The spelling of 1225224 in words is "one million, two hundred twenty-five thousand, two hundred twenty-four".