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22385664 = 210327347
BaseRepresentation
bin101010101100…
…1010000000000
31120010022100200
41111121100000
521212320124
62115445200
7361163220
oct125312000
946108320
1022385664
11116aa754
1275b6800
13483a272
142d8a080
151e72bc9
hex1559400

22385664 has 132 divisors (see below), whose sum is σ = 74085024. Its totient is φ = 6377472.

The previous prime is 22385653. The next prime is 22385683. The reversal of 22385664 is 46658322.

It is a super-2 number, since 2×223856642 = 1002235905441792, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 64339 + ... + 64685.

Almost surely, 222385664 is an apocalyptic number.

22385664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22385664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37042512).

22385664 is an abundant number, since it is smaller than the sum of its proper divisors (51699360).

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

22385664 is a wasteful number, since it uses less digits than its factorization.

22385664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 380 (or 359 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 22385664 is about 4731.3490676550. The cubic root of 22385664 is about 281.8317994996.

The spelling of 22385664 in words is "twenty-two million, three hundred eighty-five thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 256 288 336 347 384 448 504 512 576 672 694 768 896 1008 1024 1041 1152 1344 1388 1536 1792 2016 2082 2304 2429 2688 2776 3072 3123 3584 4032 4164 4608 4858 5376 5552 6246 7168 7287 8064 8328 9216 9716 10752 11104 12492 14574 16128 16656 19432 21504 21861 22208 24984 29148 32256 33312 38864 43722 44416 49968 58296 64512 66624 77728 87444 88832 99936 116592 133248 155456 174888 177664 199872 233184 266496 310912 349776 355328 399744 466368 532992 621824 699552 799488 932736 1065984 1243648 1399104 1598976 1865472 2487296 2798208 3197952 3730944 5596416 7461888 11192832 22385664