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22442240 = 28589197
BaseRepresentation
bin101010110011…
…1000100000000
31120020011222002
41111213010000
521221122430
62121003132
7361520162
oct125470400
946204862
1022442240
1111739207
1276234a8
134859c42
142da2932
151e84845
hex1567100

22442240 has 72 divisors (see below), whose sum is σ = 54636120. Its totient is φ = 8830976.

The previous prime is 22442237. The next prime is 22442257. The reversal of 22442240 is 4224422.

It can be written as a sum of positive squares in 4 ways, for example, as 4734976 + 17707264 = 2176^2 + 4208^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 113822 + ... + 114018.

It is an arithmetic number, because the mean of its divisors is an integer number (758835).

Almost surely, 222442240 is an apocalyptic number.

22442240 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 22442240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27318060).

22442240 is an abundant number, since it is smaller than the sum of its proper divisors (32193880).

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

22442240 is an equidigital number, since it uses as much as digits as its factorization.

22442240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

The square root of 22442240 is about 4737.3241392161. The cubic root of 22442240 is about 282.0690272483.

Adding to 22442240 its reverse (4224422), we get a palindrome (26666662).

The spelling of 22442240 in words is "twenty-two million, four hundred forty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 89 128 160 178 197 256 320 356 394 445 640 712 788 890 985 1280 1424 1576 1780 1970 2848 3152 3560 3940 5696 6304 7120 7880 11392 12608 14240 15760 17533 22784 25216 28480 31520 35066 50432 56960 63040 70132 87665 113920 126080 140264 175330 252160 280528 350660 561056 701320 1122112 1402640 2244224 2805280 4488448 5610560 11221120 22442240