Search a number
-
+
22916844 = 223629271
BaseRepresentation
bin101011101101…
…0111011101100
31121010022000000
41113122323230
521331314334
62135104300
7365534646
oct127327354
947108000
1022916844
1111a32845
127812090
134994c82
143087896
15202a299
hex15daeec

22916844 has 84 divisors (see below), whose sum is σ = 62432160. Its totient is φ = 7348320.

The previous prime is 22916837. The next prime is 22916849. The reversal of 22916844 is 44861922.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 22916799 and 22916808.

It is not an unprimeable number, because it can be changed into a prime (22916849) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 84429 + ... + 84699.

It is an arithmetic number, because the mean of its divisors is an integer number (743240).

Almost surely, 222916844 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 22916844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31216080).

22916844 is an abundant number, since it is smaller than the sum of its proper divisors (39515316).

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

22916844 is a wasteful number, since it uses less digits than its factorization.

22916844 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322 (or 305 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 22916844 is about 4787.1540606085. The cubic root of 22916844 is about 284.0435527996.

The spelling of 22916844 in words is "twenty-two million, nine hundred sixteen thousand, eight hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 29 36 54 58 81 87 108 116 162 174 243 261 271 324 348 486 522 542 729 783 813 972 1044 1084 1458 1566 1626 2349 2439 2916 3132 3252 4698 4878 7047 7317 7859 9396 9756 14094 14634 15718 21141 21951 23577 28188 29268 31436 42282 43902 47154 65853 70731 84564 87804 94308 131706 141462 197559 212193 263412 282924 395118 424386 636579 790236 848772 1273158 1909737 2546316 3819474 5729211 7638948 11458422 22916844