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10226214 = 23217231453
BaseRepresentation
bin100111000000…
…101000100110
3201020112201200
4213000220212
510104214324
61003103330
7152631015
oct47005046
921215650
1010226214
115855119
123511b46
13217081b
141502a7c
15d6eec9
hex9c0a26

10226214 has 48 divisors (see below), whose sum is σ = 24496992. Its totient is φ = 3066624.

The previous prime is 10226147. The next prime is 10226221. The reversal of 10226214 is 41262201.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6312 + ... + 7764.

It is an arithmetic number, because the mean of its divisors is an integer number (510354).

Almost surely, 210226214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10226214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12248496).

10226214 is an abundant number, since it is smaller than the sum of its proper divisors (14270778).

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

10226214 is a wasteful number, since it uses less digits than its factorization.

10226214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1501 (or 1498 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 10226214 is about 3197.8452120139. The cubic root of 10226214 is about 217.0559151428.

Adding to 10226214 its reverse (41262201), we get a palindrome (51488415).

It can be divided in two parts, 10226 and 214, that added together give a triangular number (10440 = T144).

The spelling of 10226214 in words is "ten million, two hundred twenty-six thousand, two hundred fourteen".

Divisors: 1 2 3 6 9 17 18 23 34 46 51 69 102 138 153 207 306 391 414 782 1173 1453 2346 2906 3519 4359 7038 8718 13077 24701 26154 33419 49402 66838 74103 100257 148206 200514 222309 300771 444618 568123 601542 1136246 1704369 3408738 5113107 10226214