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22324120 = 2357136133
BaseRepresentation
bin101010100101…
…0001110011000
31120000011221021
41111022032120
521203332440
62114252224
7360515620
oct125121630
946004837
1022324120
1111668495
127587074
134818250
142d71880
151e5e84a
hex154a398

22324120 has 64 divisors (see below), whose sum is σ = 61830720. Its totient is φ = 7064064.

The previous prime is 22324097. The next prime is 22324129. The reversal of 22324120 is 2142322.

It is a super-3 number, since 3×223241203 (a number of 23 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 22324094 and 22324103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22324129) 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 15 ways as a sum of consecutive naturals, for example, 574 + ... + 6706.

It is an arithmetic number, because the mean of its divisors is an integer number (966105).

Almost surely, 222324120 is an apocalyptic number.

22324120 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 22324120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30915360).

22324120 is an abundant number, since it is smaller than the sum of its proper divisors (39506600).

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

22324120 is a wasteful number, since it uses less digits than its factorization.

22324120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6164 (or 6160 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 22324120 is about 4724.8407380567. The cubic root of 22324120 is about 281.5732861948.

Adding to 22324120 its reverse (2142322), we get a palindrome (24466442).

The spelling of 22324120 in words is "twenty-two million, three hundred twenty-four thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 13 14 20 26 28 35 40 52 56 65 70 91 104 130 140 182 260 280 364 455 520 728 910 1820 3640 6133 12266 24532 30665 42931 49064 61330 79729 85862 122660 159458 171724 214655 245320 318916 343448 398645 429310 558103 637832 797290 858620 1116206 1594580 1717240 2232412 2790515 3189160 4464824 5581030 11162060 22324120