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22120320 = 273541281
BaseRepresentation
bin101010001100…
…0011110000000
31112121211101010
41110120132000
521130322240
62110040520
7356006505
oct124303600
945554333
1022120320
1111539362
1274a9140
134776561
142d1b4ac
151e1e280
hex1518780

22120320 has 128 divisors (see below), whose sum is σ = 72485280. Its totient is φ = 5734400.

The previous prime is 22120303. The next prime is 22120331. The reversal of 22120320 is 2302122.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 22120296 and 22120305.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 78580 + ... + 78860.

Almost surely, 222120320 is an apocalyptic number.

22120320 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 22120320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36242640).

22120320 is an abundant number, since it is smaller than the sum of its proper divisors (50364960).

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

22120320 is a wasteful number, since it uses less digits than its factorization.

22120320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 22120320 is about 4703.2244258593. The cubic root of 22120320 is about 280.7138249049.

Adding to 22120320 its reverse (2302122), we get a palindrome (24422442).

The spelling of 22120320 in words is "twenty-two million, one hundred twenty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 41 48 60 64 80 82 96 120 123 128 160 164 192 205 240 246 281 320 328 384 410 480 492 562 615 640 656 820 843 960 984 1124 1230 1312 1405 1640 1686 1920 1968 2248 2460 2624 2810 3280 3372 3936 4215 4496 4920 5248 5620 6560 6744 7872 8430 8992 9840 11240 11521 13120 13488 15744 16860 17984 19680 22480 23042 26240 26976 33720 34563 35968 39360 44960 46084 53952 57605 67440 69126 78720 89920 92168 107904 115210 134880 138252 172815 179840 184336 230420 269760 276504 345630 368672 460840 539520 553008 691260 737344 921680 1106016 1382520 1474688 1843360 2212032 2765040 3686720 4424064 5530080 7373440 11060160 22120320