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221214060 = 223256120147
BaseRepresentation
bin11010010111101…
…11010101101100
3120102020211122100
431023313111230
5423112322220
633541215100
75324200644
oct1513672554
9512224570
10221214060
11103962441
1262101490
1336aa41c2
1421545524
1514649d90
hexd2f756c

221214060 has 72 divisors (see below), whose sum is σ = 682050096. Its totient is φ = 58020480.

The previous prime is 221214053. The next prime is 221214073. The reversal of 221214060 is 60412122.

221214060 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 907 + ... + 21053.

It is an arithmetic number, because the mean of its divisors is an integer number (9472918).

Almost surely, 2221214060 is an apocalyptic number.

221214060 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 221214060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341025048).

221214060 is an abundant number, since it is smaller than the sum of its proper divisors (460836036).

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

221214060 is a wasteful number, since it uses less digits than its factorization.

221214060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20223 (or 20218 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 221214060 is about 14873.2666216941. The cubic root of 221214060 is about 604.7894994293.

Adding to 221214060 its reverse (60412122), we get a palindrome (281626182).

The spelling of 221214060 in words is "two hundred twenty-one million, two hundred fourteen thousand, sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 61 90 122 180 183 244 305 366 549 610 732 915 1098 1220 1830 2196 2745 3660 5490 10980 20147 40294 60441 80588 100735 120882 181323 201470 241764 302205 362646 402940 604410 725292 906615 1208820 1228967 1813230 2457934 3626460 3686901 4915868 6144835 7373802 11060703 12289670 14747604 18434505 22121406 24579340 36869010 44242812 55303515 73738020 110607030 221214060