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216213921 = 33721183179
BaseRepresentation
bin11001110001100…
…10100110100001
3120001211210202000
430320302212201
5420322321141
633242114213
75233534200
oct1470624641
9501753660
10216213921
111010577a0
12604ab969
1335a43341
1420a03237
1513ead5b6
hexce329a1

216213921 has 96 divisors (see below), whose sum is σ = 413683200. Its totient is φ = 110345760.

The previous prime is 216213917. The next prime is 216213929. The reversal of 216213921 is 129312612.

216213921 is a `hidden beast` number, since 2 + 1 + 621 + 39 + 2 + 1 = 666.

It is not a de Polignac number, because 216213921 - 22 = 216213917 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216213929) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 1207810 + ... + 1207988.

It is an arithmetic number, because the mean of its divisors is an integer number (4309200).

Almost surely, 2216213921 is an apocalyptic number.

216213921 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

216213921 is a deficient number, since it is larger than the sum of its proper divisors (197469279).

216213921 is a wasteful number, since it uses less digits than its factorization.

216213921 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296 (or 283 counting only the distinct ones).

The product of its digits is 1296, while the sum is 27.

The square root of 216213921 is about 14704.2143958798. The cubic root of 216213921 is about 600.1980096464.

It can be divided in two parts, 2162139 and 21, that added together give a triangular number (2162160 = T2079).

The spelling of 216213921 in words is "two hundred sixteen million, two hundred thirteen thousand, nine hundred twenty-one".

Divisors: 1 3 7 9 11 21 27 33 49 63 77 83 99 147 179 189 231 249 297 441 537 539 581 693 747 913 1253 1323 1611 1617 1743 1969 2079 2241 2739 3759 4067 4833 4851 5229 5907 6391 8217 8771 11277 12201 13783 14553 14857 15687 17721 19173 24651 26313 33831 36603 41349 44571 44737 53163 57519 78939 96481 103999 109809 124047 133713 134211 163427 172557 236817 289443 311997 372141 401139 402633 490281 727993 868329 935991 1143989 1207899 1470843 2183979 2604987 2807973 3431967 4412529 6551937 8007923 10295901 19655811 24023769 30887703 72071307 216213921