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10225644 = 223111359101
BaseRepresentation
bin100111000000…
…011111101100
3201020111221120
4213000133230
510104210034
61003100540
7152626242
oct47003754
921214846
1010225644
115854750
123511750
1321704a0
141502792
15d6ec49
hex9c07ec

10225644 has 96 divisors (see below), whose sum is σ = 28788480. Its totient is φ = 2784000.

The previous prime is 10225609. The next prime is 10225651. The reversal of 10225644 is 44652201.

10225644 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 101194 + ... + 101294.

It is an arithmetic number, because the mean of its divisors is an integer number (299880).

Almost surely, 210225644 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 10225644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14394240).

10225644 is an abundant number, since it is smaller than the sum of its proper divisors (18562836).

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

10225644 is a wasteful number, since it uses less digits than its factorization.

10225644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 10225644 is about 3197.7560882594. The cubic root of 10225644 is about 217.0518822338.

Adding to 10225644 its reverse (44652201), we get a palindrome (54877845).

It can be divided in two parts, 1022 and 5644, that added together give a palindrome (6666).

The spelling of 10225644 in words is "ten million, two hundred twenty-five thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 11 12 13 22 26 33 39 44 52 59 66 78 101 118 132 143 156 177 202 236 286 303 354 404 429 572 606 649 708 767 858 1111 1212 1298 1313 1534 1716 1947 2222 2301 2596 2626 3068 3333 3894 3939 4444 4602 5252 5959 6666 7788 7878 8437 9204 11918 13332 14443 15756 16874 17877 23836 25311 28886 33748 35754 43329 50622 57772 65549 71508 77467 86658 101244 131098 154934 173316 196647 232401 262196 309868 393294 464802 786588 852137 929604 1704274 2556411 3408548 5112822 10225644