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216201006 = 23273155351
BaseRepresentation
bin11001110001011…
…11011100101110
3120001211011000200
430320233130232
5420321413011
633241534330
75233451430
oct1470573456
9501734020
10216201006
1110104901a
12604a43a6
1335a3a4b8
14209dc650
1513ea9856
hexce2f72e

216201006 has 48 divisors (see below), whose sum is σ = 552634368. Its totient is φ = 59778000.

The previous prime is 216201001. The next prime is 216201023. The reversal of 216201006 is 600102612.

It is a happy number.

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

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 216201006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216201001) 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 23 ways as a sum of consecutive naturals, for example, 23770 + ... + 31581.

It is an arithmetic number, because the mean of its divisors is an integer number (11513216).

Almost surely, 2216201006 is an apocalyptic number.

216201006 is an abundant number, since it is smaller than the sum of its proper divisors (336433362).

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

216201006 is a wasteful number, since it uses less digits than its factorization.

216201006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55397 (or 55394 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 216201006 is about 14703.7752295116. The cubic root of 216201006 is about 600.1860589641.

Adding to 216201006 its reverse (600102612), we get a palindrome (816303618).

The spelling of 216201006 in words is "two hundred sixteen million, two hundred one thousand, six".

Divisors: 1 2 3 6 7 9 14 18 21 31 42 62 63 93 126 186 217 279 434 558 651 1302 1953 3906 55351 110702 166053 332106 387457 498159 774914 996318 1162371 1715881 2324742 3431762 3487113 5147643 6974226 10295286 12011167 15442929 24022334 30885858 36033501 72067002 108100503 216201006