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216091764 = 223272122501
BaseRepresentation
bin11001110000101…
…00110001110100
3120001121121011200
430320110301310
5420304414024
633235332500
75232515100
oct1470246164
9501547150
10216091764
11100a83a39
1260451130
13359cc865
14209b0900
1513e872c9
hexce14c74

216091764 has 54 divisors (see below), whose sum is σ = 635417874. Its totient is φ = 61740000.

The previous prime is 216091741. The next prime is 216091783. The reversal of 216091764 is 467190612.

It can be written as a sum of positive squares in only one way, i.e., 216090000 + 1764 = 14700^2 + 42^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 17 ways as a sum of consecutive naturals, for example, 59487 + ... + 63014.

Almost surely, 2216091764 is an apocalyptic number.

It is an amenable number.

216091764 is an abundant number, since it is smaller than the sum of its proper divisors (419326110).

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

216091764 is a wasteful number, since it uses less digits than its factorization.

216091764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122525 (or 122513 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 216091764 is about 14700.0599998776. The cubic root of 216091764 is about 600.0849546373.

It can be divided in two parts, 21609 and 1764, that multiplied together give a square (38118276 = 61742).

The spelling of 216091764 in words is "two hundred sixteen million, ninety-one thousand, seven hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 252 294 441 588 882 1764 122501 245002 367503 490004 735006 857507 1102509 1470012 1715014 2205018 2572521 3430028 4410036 5145042 6002549 7717563 10290084 12005098 15435126 18007647 24010196 30870252 36015294 54022941 72030588 108045882 216091764