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22189664 = 257235973
BaseRepresentation
bin101010010100…
…1011001100000
31112202100111102
41110221121200
521140032124
62111333532
7356415620
oct124513140
945670442
1022189664
1111586472
1275212a8
13479bca3
142d38880
151e34aae
hex1529660

22189664 has 96 divisors (see below), whose sum is σ = 53706240. Its totient is φ = 8819712.

The previous prime is 22189649. The next prime is 22189667. The reversal of 22189664 is 46698122.

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22189667) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 303932 + ... + 304004.

It is an arithmetic number, because the mean of its divisors is an integer number (559440).

Almost surely, 222189664 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 22189664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26853120).

22189664 is an abundant number, since it is smaller than the sum of its proper divisors (31516576).

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

22189664 is a wasteful number, since it uses less digits than its factorization.

22189664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 164 counting only the distinct ones).

The product of its digits is 41472, while the sum is 38.

The square root of 22189664 is about 4710.5906211430. The cubic root of 22189664 is about 281.0068513166.

The spelling of 22189664 in words is "twenty-two million, one hundred eighty-nine thousand, six hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 23 28 32 46 56 59 73 92 112 118 146 161 184 224 236 292 322 368 413 472 511 584 644 736 826 944 1022 1168 1288 1357 1652 1679 1888 2044 2336 2576 2714 3304 3358 4088 4307 5152 5428 6608 6716 8176 8614 9499 10856 11753 13216 13432 16352 17228 18998 21712 23506 26864 30149 34456 37996 43424 47012 53728 60298 68912 75992 94024 99061 120596 137824 151984 188048 198122 241192 303968 376096 396244 482384 693427 792488 964768 1386854 1584976 2773708 3169952 5547416 11094832 22189664