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22058316 = 223271719271
BaseRepresentation
bin101010000100…
…1010101001100
31112111200022200
41110021111030
521121331231
62104441500
7355330650
oct124112514
945450280
1022058316
11114a6815
127479290
134754277
142d02a60
151e0abe6
hex150954c

22058316 has 144 divisors (see below), whose sum is σ = 71285760. Its totient is φ = 5598720.

The previous prime is 22058303. The next prime is 22058317. The reversal of 22058316 is 61385022.

It is a self number, because there is not a number n which added to its sum of digits gives 22058316.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22058317) 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, 81261 + ... + 81531.

It is an arithmetic number, because the mean of its divisors is an integer number (495040).

Almost surely, 222058316 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 22058316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35642880).

22058316 is an abundant number, since it is smaller than the sum of its proper divisors (49227444).

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

22058316 is a wasteful number, since it uses less digits than its factorization.

22058316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 22058316 is about 4696.6281521960. The cubic root of 22058316 is about 280.4512960326.

The spelling of 22058316 in words is "twenty-two million, fifty-eight thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 7 9 12 14 17 18 19 21 28 34 36 38 42 51 57 63 68 76 84 102 114 119 126 133 153 171 204 228 238 252 266 271 306 323 342 357 399 476 532 542 612 646 684 714 798 813 969 1071 1084 1197 1292 1428 1596 1626 1897 1938 2142 2261 2394 2439 2907 3252 3794 3876 4284 4522 4607 4788 4878 5149 5691 5814 6783 7588 9044 9214 9756 10298 11382 11628 13566 13821 15447 17073 18428 20349 20596 22764 27132 27642 30894 32249 34146 36043 40698 41463 46341 55284 61788 64498 68292 72086 81396 82926 87533 92682 96747 108129 128996 144172 165852 175066 185364 193494 216258 262599 290241 324387 350132 386988 432516 525198 580482 612731 648774 787797 1050396 1160964 1225462 1297548 1575594 1838193 2450924 3151188 3676386 5514579 7352772 11029158 22058316