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22006404 = 2234731313
BaseRepresentation
bin101001111110…
…0101010000100
31112102001010000
41103330222010
521113201104
62103401300
7355023420
oct123745204
945361100
1022006404
1111470812
127453230
134736754
142ccbb80
151dea639
hex14fca84

22006404 has 120 divisors (see below), whose sum is σ = 68085248. Its totient is φ = 6065280.

The previous prime is 22006349. The next prime is 22006409. The reversal of 22006404 is 40460022.

22006404 is a `hidden beast` number, since 2 + 20 + 0 + 640 + 4 = 666.

It is a super-2 number, since 2×220064042 = 968563634022432, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22006409) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 70152 + ... + 70464.

Almost surely, 222006404 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 22006404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34042624).

22006404 is an abundant number, since it is smaller than the sum of its proper divisors (46078844).

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

22006404 is a wasteful number, since it uses less digits than its factorization.

22006404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 367 (or 356 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 22006404 is about 4691.0983788448. The cubic root of 22006404 is about 280.2311187004.

Adding to 22006404 its reverse (40460022), we get a palindrome (62466426).

The spelling of 22006404 in words is "twenty-two million, six thousand, four hundred four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 31 36 42 54 62 63 81 84 93 108 124 126 162 186 189 217 252 279 313 324 372 378 434 558 567 626 651 756 837 868 939 1116 1134 1252 1302 1674 1878 1953 2191 2268 2511 2604 2817 3348 3756 3906 4382 5022 5634 5859 6573 7812 8451 8764 9703 10044 11268 11718 13146 16902 17577 19406 19719 23436 25353 26292 29109 33804 35154 38812 39438 50706 58218 59157 67921 70308 78876 87327 101412 116436 118314 135842 174654 177471 203763 236628 261981 271684 349308 354942 407526 523962 611289 709884 785943 815052 1047924 1222578 1571886 1833867 2445156 3143772 3667734 5501601 7335468 11003202 22006404