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22027320 = 2332578741
BaseRepresentation
bin101010000000…
…1110000111000
31112110002210200
41110001300320
521114333240
62104042200
7355141410
oct124016070
945402720
1022027320
11114854a7
127463360
134743123
142cd5640
151e01930
hex1501c38

22027320 has 96 divisors (see below), whose sum is σ = 81825120. Its totient is φ = 5034240.

The previous prime is 22027303. The next prime is 22027339. The reversal of 22027320 is 2372022.

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 = 22027293 and 22027302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1851 + ... + 6890.

It is an arithmetic number, because the mean of its divisors is an integer number (852345).

Almost surely, 222027320 is an apocalyptic number.

22027320 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 22027320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40912560).

22027320 is an abundant number, since it is smaller than the sum of its proper divisors (59797800).

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

22027320 is a wasteful number, since it uses less digits than its factorization.

22027320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8765 (or 8758 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 18.

The square root of 22027320 is about 4693.3271780263. The cubic root of 22027320 is about 280.3198725331.

Adding to 22027320 its reverse (2372022), we get a palindrome (24399342).

The spelling of 22027320 in words is "twenty-two million, twenty-seven thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 28 30 35 36 40 42 45 56 60 63 70 72 84 90 105 120 126 140 168 180 210 252 280 315 360 420 504 630 840 1260 2520 8741 17482 26223 34964 43705 52446 61187 69928 78669 87410 104892 122374 131115 157338 174820 183561 209784 244748 262230 305935 314676 349640 367122 393345 489496 524460 550683 611870 629352 734244 786690 917805 1048920 1101366 1223740 1468488 1573380 1835610 2202732 2447480 2753415 3146760 3671220 4405464 5506830 7342440 11013660 22027320