Search a number
-
+
22438164 = 22371719827
BaseRepresentation
bin101010110011…
…0000100010100
31120012222101010
41111212010110
521221010124
62120532220
7361502250
oct125460424
946188333
1022438164
1111736141
127621070
134858128
142da1260
151e83529
hex1566114

22438164 has 96 divisors (see below), whose sum is σ = 66769920. Its totient is φ = 5709312.

The previous prime is 22438153. The next prime is 22438177. The reversal of 22438164 is 46183422.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26719 + ... + 27545.

It is an arithmetic number, because the mean of its divisors is an integer number (695520).

Almost surely, 222438164 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 22438164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33384960).

22438164 is an abundant number, since it is smaller than the sum of its proper divisors (44331756).

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

22438164 is a wasteful number, since it uses less digits than its factorization.

22438164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 877 (or 875 counting only the distinct ones).

The product of its digits is 9216, while the sum is 30.

The square root of 22438164 is about 4736.8939190149. The cubic root of 22438164 is about 282.0519495863.

The spelling of 22438164 in words is "twenty-two million, four hundred thirty-eight thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 7 12 14 17 19 21 28 34 38 42 51 57 68 76 84 102 114 119 133 204 228 238 266 323 357 399 476 532 646 714 798 827 969 1292 1428 1596 1654 1938 2261 2481 3308 3876 4522 4962 5789 6783 9044 9924 11578 13566 14059 15713 17367 23156 27132 28118 31426 34734 42177 47139 56236 62852 69468 84354 94278 98413 109991 168708 188556 196826 219982 267121 295239 329973 393652 439964 534242 590478 659946 801363 1068484 1180956 1319892 1602726 1869847 3205452 3739694 5609541 7479388 11219082 22438164