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10224620 = 2257199367
BaseRepresentation
bin100111000000…
…001111101100
3201020110112122
4213000033230
510104141440
61003052112
7152623250
oct47001754
921213478
1010224620
1158539aa
123511038
13216cb93
141502260
15d6e7b5
hex9c03ec

10224620 has 48 divisors (see below), whose sum is σ = 24729600. Its totient is φ = 3478464.

The previous prime is 10224607. The next prime is 10224623. The reversal of 10224620 is 2642201.

It is not an unprimeable number, because it can be changed into a prime (10224623) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27677 + ... + 28043.

It is an arithmetic number, because the mean of its divisors is an integer number (515200).

Almost surely, 210224620 is an apocalyptic number.

10224620 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 10224620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12364800).

10224620 is an abundant number, since it is smaller than the sum of its proper divisors (14504980).

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

10224620 is a wasteful number, since it uses less digits than its factorization.

10224620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 582 (or 580 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 10224620 is about 3197.5959719764. The cubic root of 10224620 is about 217.0446367717.

Adding to 10224620 its reverse (2642201), we get a palindrome (12866821).

The spelling of 10224620 in words is "ten million, two hundred twenty-four thousand, six hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 199 367 398 734 796 995 1393 1468 1835 1990 2569 2786 3670 3980 5138 5572 6965 7340 10276 12845 13930 25690 27860 51380 73033 146066 292132 365165 511231 730330 1022462 1460660 2044924 2556155 5112310 10224620