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214203660 = 223511491661
BaseRepresentation
bin11001100010001…
…11110100001100
3112221001200011220
430301013310030
5414314004120
633131043340
75210462316
oct1461076414
9487050156
10214203660
11aaa04420
125b8a0550
13354bb338
142063c7b6
1513c12b40
hexcc47d0c

214203660 has 96 divisors (see below), whose sum is σ = 656619264. Its totient is φ = 51744000.

The previous prime is 214203643. The next prime is 214203713. The reversal of 214203660 is 66302412.

214203660 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 214203660.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 323730 + ... + 324390.

It is an arithmetic number, because the mean of its divisors is an integer number (6839784).

Almost surely, 2214203660 is an apocalyptic number.

214203660 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 214203660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328309632).

214203660 is an abundant number, since it is smaller than the sum of its proper divisors (442415604).

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

214203660 is a wasteful number, since it uses less digits than its factorization.

214203660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1175 (or 1173 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 214203660 is about 14635.6981384558. The cubic root of 214203660 is about 598.3320899788.

The spelling of 214203660 in words is "two hundred fourteen million, two hundred three thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 491 660 661 982 1322 1473 1964 1983 2455 2644 2946 3305 3966 4910 5401 5892 6610 7271 7365 7932 9820 9915 10802 13220 14542 14730 16203 19830 21604 21813 27005 29084 29460 32406 36355 39660 43626 54010 64812 72710 81015 87252 108020 109065 145420 162030 218130 324060 324551 436260 649102 973653 1298204 1622755 1947306 3245510 3570061 3894612 4868265 6491020 7140122 9736530 10710183 14280244 17850305 19473060 21420366 35700610 42840732 53550915 71401220 107101830 214203660