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22323420 = 22325722531
BaseRepresentation
bin101010100101…
…0000011011100
31120000010222100
41111022003130
521203322140
62114245100
7360513600
oct125120334
946003870
1022323420
1111667a09
127586790
134817b32
142d71500
151e5e530
hex154a0dc

22323420 has 108 divisors (see below), whose sum is σ = 78800904. Its totient is φ = 5100480.

The previous prime is 22323403. The next prime is 22323421. The reversal of 22323420 is 2432322.

22323420 is a `hidden beast` number, since 223 + 23 + 420 = 666.

It is a super-3 number, since 3×223234203 (a number of 23 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 22323393 and 22323402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22323421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7555 + ... + 10085.

It is an arithmetic number, because the mean of its divisors is an integer number (729638).

Almost surely, 222323420 is an apocalyptic number.

22323420 is a gapful number since it is divisible by the number (20) 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 22323420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39400452).

22323420 is an abundant number, since it is smaller than the sum of its proper divisors (56477484).

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

22323420 is a wasteful number, since it uses less digits than its factorization.

22323420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2560 (or 2548 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 22323420 is about 4724.7666609051. The cubic root of 22323420 is about 281.5703431395.

Adding to 22323420 its reverse (2432322), we get a palindrome (24755742).

The spelling of 22323420 in words is "twenty-two million, three hundred twenty-three thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 49 60 63 70 84 90 98 105 126 140 147 180 196 210 245 252 294 315 420 441 490 588 630 735 882 980 1260 1470 1764 2205 2531 2940 4410 5062 7593 8820 10124 12655 15186 17717 22779 25310 30372 35434 37965 45558 50620 53151 70868 75930 88585 91116 106302 113895 124019 151860 159453 177170 212604 227790 248038 265755 318906 354340 372057 455580 496076 531510 620095 637812 744114 797265 1063020 1116171 1240190 1488228 1594530 1860285 2232342 2480380 3189060 3720570 4464684 5580855 7441140 11161710 22323420