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22081728 = 263472447
BaseRepresentation
bin101010000111…
…1000011000000
31112112212102210
41110033003000
521123103403
62105142120
7355456134
oct124170300
945485383
1022081728
1111512369
12748a940
134761b16
142d0b3c4
151e12b03
hex150f0c0

22081728 has 56 divisors (see below), whose sum is σ = 59692032. Its totient is φ = 7201024.

The previous prime is 22081723. The next prime is 22081733. The reversal of 22081728 is 82718022.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (22081723) and next prime (22081733).

It is a super-2 number, since 2×220817282 = 975205422931968, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 22081695 and 22081704.

It is not an unprimeable number, because it can be changed into a prime (22081721) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7801 + ... + 10247.

Almost surely, 222081728 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 22081728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29846016).

22081728 is an abundant number, since it is smaller than the sum of its proper divisors (37610304).

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

22081728 is a wasteful number, since it uses less digits than its factorization.

22081728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2509 (or 2499 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 30.

The square root of 22081728 is about 4699.1199176016. The cubic root of 22081728 is about 280.5504816664.

The spelling of 22081728 in words is "twenty-two million, eighty-one thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 64 94 96 141 188 192 282 376 564 752 1128 1504 2256 2447 3008 4512 4894 7341 9024 9788 14682 19576 29364 39152 58728 78304 115009 117456 156608 230018 234912 345027 460036 469824 690054 920072 1380108 1840144 2760216 3680288 5520432 7360576 11040864 22081728