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10226656 = 2511171709
BaseRepresentation
bin100111000000…
…101111100000
3201020120100001
4213000233200
510104223111
61003105344
7152632216
oct47005740
921216301
1010226656
115855490
123512254
132170a9b
141502cb6
15d701c1
hex9c0be0

10226656 has 48 divisors (see below), whose sum is σ = 23269680. Its totient is φ = 4372480.

The previous prime is 10226641. The next prime is 10226659. The reversal of 10226656 is 65662201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10226659) 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, 5130 + ... + 6838.

It is an arithmetic number, because the mean of its divisors is an integer number (484785).

Almost surely, 210226656 is an apocalyptic number.

10226656 is a gapful number since it is divisible by the number (16) 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 10226656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11634840).

10226656 is an abundant number, since it is smaller than the sum of its proper divisors (13043024).

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

10226656 is a wasteful number, since it uses less digits than its factorization.

10226656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1747 (or 1739 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 10226656 is about 3197.9143203032. The cubic root of 10226656 is about 217.0590423129.

Adding to 10226656 its reverse (65662201), we get a palindrome (75888857).

The spelling of 10226656 in words is "ten million, two hundred twenty-six thousand, six hundred fifty-six".

Divisors: 1 2 4 8 11 16 17 22 32 34 44 68 88 136 176 187 272 352 374 544 748 1496 1709 2992 3418 5984 6836 13672 18799 27344 29053 37598 54688 58106 75196 116212 150392 232424 300784 319583 464848 601568 639166 929696 1278332 2556664 5113328 10226656