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10226664 = 23327103197
BaseRepresentation
bin100111000000…
…101111101000
3201020120100100
4213000233220
510104223124
61003105400
7152632230
oct47005750
921216310
1010226664
115855498
123512260
132170aa6
141502cc0
15d701c9
hex9c0be8

10226664 has 96 divisors (see below), whose sum is σ = 32123520. Its totient is φ = 2878848.

The previous prime is 10226663. The next prime is 10226687. The reversal of 10226664 is 46662201.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (10226663) 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 23 ways as a sum of consecutive naturals, for example, 51814 + ... + 52010.

It is an arithmetic number, because the mean of its divisors is an integer number (334620).

Almost surely, 210226664 is an apocalyptic number.

10226664 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 10226664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16061760).

10226664 is an abundant number, since it is smaller than the sum of its proper divisors (21896856).

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

10226664 is a wasteful number, since it uses less digits than its factorization.

10226664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 10226664 is about 3197.9155711182. The cubic root of 10226664 is about 217.0590989124.

Adding to 10226664 its reverse (46662201), we get a palindrome (56888865).

The spelling of 10226664 in words is "ten million, two hundred twenty-six thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 103 126 168 197 206 252 309 394 412 504 591 618 721 788 824 927 1182 1236 1379 1442 1576 1773 1854 2163 2364 2472 2758 2884 3546 3708 4137 4326 4728 5516 5768 6489 7092 7416 8274 8652 11032 12411 12978 14184 16548 17304 20291 24822 25956 33096 40582 49644 51912 60873 81164 99288 121746 142037 162328 182619 243492 284074 365238 426111 486984 568148 730476 852222 1136296 1278333 1460952 1704444 2556666 3408888 5113332 10226664