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10225344 = 263192803
BaseRepresentation
bin100111000000…
…011011000000
3201020111112110
4213000123000
510104202334
61003055320
7152625333
oct47003300
921214473
1010225344
1158544a8
123511540
1321702cc
14150261a
15d6eae9
hex9c06c0

10225344 has 56 divisors (see below), whose sum is σ = 28488640. Its totient is φ = 3227904.

The previous prime is 10225337. The next prime is 10225373. The reversal of 10225344 is 44352201.

It is a self number, because there is not a number n which added to its sum of digits gives 10225344.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2247 + ... + 5049.

Almost surely, 210225344 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 10225344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14244320).

10225344 is an abundant number, since it is smaller than the sum of its proper divisors (18263296).

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

10225344 is a wasteful number, since it uses less digits than its factorization.

10225344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2837 (or 2827 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 10225344 is about 3197.7091800225. The cubic root of 10225344 is about 217.0497595899.

Adding to 10225344 its reverse (44352201), we get a palindrome (54577545).

The spelling of 10225344 in words is "ten million, two hundred twenty-five thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 152 192 228 304 456 608 912 1216 1824 2803 3648 5606 8409 11212 16818 22424 33636 44848 53257 67272 89696 106514 134544 159771 179392 213028 269088 319542 426056 538176 639084 852112 1278168 1704224 2556336 3408448 5112672 10225344