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219329064 = 23323046237
BaseRepresentation
bin11010001001010…
…11001000101000
3120021201001220200
431010223020220
5422122012224
633432552200
75302160223
oct1504531050
9507631820
10219329064
11102895199
1261552660
1336594216
14211b45ba
15143c65c9
hexd12b228

219329064 has 24 divisors (see below), whose sum is σ = 594016410. Its totient is φ = 73109664.

The previous prime is 219329063. The next prime is 219329069. The reversal of 219329064 is 460923912.

It can be written as a sum of positive squares in only one way, i.e., 206152164 + 13176900 = 14358^2 + 3630^2 .

It is a tau number, because it is divible by the number of its divisors (24).

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

It is not an unprimeable number, because it can be changed into a prime (219329063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1523047 + ... + 1523190.

Almost surely, 2219329064 is an apocalyptic number.

219329064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

219329064 is an abundant number, since it is smaller than the sum of its proper divisors (374687346).

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

219329064 is a wasteful number, since it uses less digits than its factorization.

219329064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3046249 (or 3046242 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 219329064 is about 14809.7624558937. The cubic root of 219329064 is about 603.0667648821.

The spelling of 219329064 in words is "two hundred nineteen million, three hundred twenty-nine thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 3046237 6092474 9138711 12184948 18277422 24369896 27416133 36554844 54832266 73109688 109664532 219329064