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10229268 = 2237472591
BaseRepresentation
bin100111000001…
…011000010100
3201020200220210
4213001120110
510104314033
61003125420
7152642640
oct47013024
921220823
1010229268
115857445
123513870
13217202a
141503c20
15d70d63
hex9c1614

10229268 has 48 divisors (see below), whose sum is σ = 27869184. Its totient is φ = 2859360.

The previous prime is 10229237. The next prime is 10229269. The reversal of 10229268 is 86292201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10229269) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2653 + ... + 5243.

It is an arithmetic number, because the mean of its divisors is an integer number (580608).

Almost surely, 210229268 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 10229268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13934592).

10229268 is an abundant number, since it is smaller than the sum of its proper divisors (17639916).

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

10229268 is a wasteful number, since it uses less digits than its factorization.

10229268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2652 (or 2650 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 10229268 is about 3198.3226854087. The cubic root of 10229268 is about 217.0775204924.

The spelling of 10229268 in words is "ten million, two hundred twenty-nine thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 47 84 94 141 188 282 329 564 658 987 1316 1974 2591 3948 5182 7773 10364 15546 18137 31092 36274 54411 72548 108822 121777 217644 243554 365331 487108 730662 852439 1461324 1704878 2557317 3409756 5114634 10229268