Search a number
-
+
4228686 = 235711113
BaseRepresentation
bin10000001000011001001110
321221211200000
4100020121032
52040304221
6230345130
750641350
oct20103116
97854600
104228686
112429090
1214bb1a6
13b509a7
147c10d0
15587e26
hex40864e

4228686 has 96 divisors (see below), whose sum is σ = 11950848. Its totient is φ = 1088640.

The previous prime is 4228673. The next prime is 4228723. The reversal of 4228686 is 6868224.

It is a self number, because there is not a number n which added to its sum of digits gives 4228686.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 37366 + ... + 37478.

It is an arithmetic number, because the mean of its divisors is an integer number (124488).

Almost surely, 24228686 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4228686, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5975424).

4228686 is an abundant number, since it is smaller than the sum of its proper divisors (7722162).

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

4228686 is a wasteful number, since it uses less digits than its factorization.

4228686 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 136 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 4228686 is about 2056.3769109772. The cubic root of 4228686 is about 161.7093554089.

The spelling of 4228686 in words is "four million, two hundred twenty-eight thousand, six hundred eighty-six".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 27 33 42 54 63 66 77 81 99 113 126 154 162 189 198 226 231 243 297 339 378 462 486 567 594 678 693 791 891 1017 1134 1243 1386 1582 1701 1782 2034 2079 2373 2486 2673 3051 3402 3729 4158 4746 5346 6102 6237 7119 7458 8701 9153 11187 12474 14238 17402 18306 18711 21357 22374 26103 27459 33561 37422 42714 52206 54918 64071 67122 78309 100683 128142 156618 192213 201366 234927 302049 384426 469854 604098 704781 1409562 2114343 4228686