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10228218 = 23711132131
BaseRepresentation
bin100111000001…
…000111111010
3201020122110220
4213001013322
510104300333
61003120510
7152636610
oct47010772
921218426
1010228218
115856680
123513136
132171700
1415036b0
15d708b3
hex9c11fa

10228218 has 96 divisors (see below), whose sum is σ = 27827712. Its totient is φ = 2433600.

The previous prime is 10228217. The next prime is 10228219. The reversal of 10228218 is 81282201.

10228218 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10228217) and next prime (10228219).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10228217) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 78013 + ... + 78143.

It is an arithmetic number, because the mean of its divisors is an integer number (289872).

Almost surely, 210228218 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10228218, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13913856).

10228218 is an abundant number, since it is smaller than the sum of its proper divisors (17599494).

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

10228218 is a wasteful number, since it uses less digits than its factorization.

10228218 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 24.

The square root of 10228218 is about 3198.1585326559. The cubic root of 10228218 is about 217.0700928121.

The spelling of 10228218 in words is "ten million, two hundred twenty-eight thousand, two hundred eighteen".

Divisors: 1 2 3 6 7 11 13 14 21 22 26 33 39 42 66 77 78 91 131 143 154 169 182 231 262 273 286 338 393 429 462 507 546 786 858 917 1001 1014 1183 1441 1703 1834 1859 2002 2366 2751 2882 3003 3406 3549 3718 4323 5109 5502 5577 6006 7098 8646 10087 10218 11154 11921 13013 18733 20174 22139 23842 26026 30261 35763 37466 39039 44278 56199 60522 66417 71526 78078 112398 131131 132834 154973 243529 262262 309946 393393 464919 487058 730587 786786 929838 1461174 1704703 3409406 5114109 10228218