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22320564 = 2237416481
BaseRepresentation
bin101010100100…
…1010110110100
31120000000001120
41111021112310
521203224224
62114223540
7360502350
oct125112664
946000046
1022320564
1111665852
127584bb0
134816746
142d70460
151e5d779
hex15495b4

22320564 has 48 divisors (see below), whose sum is σ = 60982656. Its totient is φ = 6220800.

The previous prime is 22320563. The next prime is 22320587. The reversal of 22320564 is 46502322.

It is a super-3 number, since 3×223205643 (a number of 23 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22320563) 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, 204 + ... + 6684.

It is an arithmetic number, because the mean of its divisors is an integer number (1270472).

Almost surely, 222320564 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 22320564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30491328).

22320564 is an abundant number, since it is smaller than the sum of its proper divisors (38662092).

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

22320564 is a wasteful number, since it uses less digits than its factorization.

22320564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6536 (or 6534 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 22320564 is about 4724.4644140897. The cubic root of 22320564 is about 281.5583348361.

Adding to 22320564 its reverse (46502322), we get a palindrome (68822886).

The spelling of 22320564 in words is "twenty-two million, three hundred twenty thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 41 42 82 84 123 164 246 287 492 574 861 1148 1722 3444 6481 12962 19443 25924 38886 45367 77772 90734 136101 181468 265721 272202 531442 544404 797163 1062884 1594326 1860047 3188652 3720094 5580141 7440188 11160282 22320564