Search a number
-
+
10229256 = 2332314583
BaseRepresentation
bin100111000001…
…011000001000
3201020200220100
4213001120020
510104314011
61003125400
7152642622
oct47013010
921220810
1010229256
115857434
123513860
13217201b
141503c12
15d70d56
hex9c1608

10229256 has 48 divisors (see below), whose sum is σ = 28604160. Its totient is φ = 3299040.

The previous prime is 10229237. The next prime is 10229269. The reversal of 10229256 is 65292201.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 60 + ... + 4523.

It is an arithmetic number, because the mean of its divisors is an integer number (595920).

Almost surely, 210229256 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 10229256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14302080).

10229256 is an abundant number, since it is smaller than the sum of its proper divisors (18374904).

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

10229256 is a wasteful number, since it uses less digits than its factorization.

10229256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4626 (or 4619 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 10229256 is about 3198.3208094248. The cubic root of 10229256 is about 217.0774356075.

The spelling of 10229256 in words is "ten million, two hundred twenty-nine thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 31 36 62 72 93 124 186 248 279 372 558 744 1116 2232 4583 9166 13749 18332 27498 36664 41247 54996 82494 109992 142073 164988 284146 329976 426219 568292 852438 1136584 1278657 1704876 2557314 3409752 5114628 10229256