Search a number
-
+
27222000 = 2435313349
BaseRepresentation
bin110011111010…
…1111111110000
31220020000120020
41213311333300
523432101000
62411243440
7450245301
oct147657760
956200506
1027222000
1114403323
129149580
1358416c0
1438887a8
1525caba0
hex19f5ff0

27222000 has 160 divisors (see below), whose sum is σ = 94785600. Its totient is φ = 6681600.

The previous prime is 27221989. The next prime is 27222001. The reversal of 27222000 is 22272.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27222001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 77826 + ... + 78174.

It is an arithmetic number, because the mean of its divisors is an integer number (592410).

Almost surely, 227222000 is an apocalyptic number.

27222000 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 27222000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47392800).

27222000 is an abundant number, since it is smaller than the sum of its proper divisors (67563600).

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

27222000 is a wasteful number, since it uses less digits than its factorization.

27222000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388 (or 372 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 15.

The square root of 27222000 is about 5217.4706515705. The cubic root of 27222000 is about 300.8199789619.

Adding to 27222000 its reverse (22272), we get a palindrome (27244272).

The spelling of 27222000 in words is "twenty-seven million, two hundred twenty-two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 25 26 30 39 40 48 50 52 60 65 75 78 80 100 104 120 125 130 150 156 195 200 208 240 250 260 300 312 325 349 375 390 400 500 520 600 624 650 698 750 780 975 1000 1040 1047 1200 1300 1396 1500 1560 1625 1745 1950 2000 2094 2600 2792 3000 3120 3250 3490 3900 4188 4537 4875 5200 5235 5584 6000 6500 6980 7800 8376 8725 9074 9750 10470 13000 13611 13960 15600 16752 17450 18148 19500 20940 22685 26000 26175 27222 27920 34900 36296 39000 41880 43625 45370 52350 54444 68055 69800 72592 78000 83760 87250 90740 104700 108888 113425 130875 136110 139600 174500 181480 209400 217776 226850 261750 272220 340275 349000 362960 418800 453700 523500 544440 567125 680550 698000 907400 1047000 1088880 1134250 1361100 1701375 1814800 2094000 2268500 2722200 3402750 4537000 5444400 6805500 9074000 13611000 27222000