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214592064 = 2632115297
BaseRepresentation
bin11001100101001…
…10101001000000
3112221210101222020
430302212221000
5414413421224
633143241440
75214000561
oct1462465100
9487711866
10214592064
1110014a215
125ba49280
13355c606b
1420700168
1513c8cc79
hexcca6a40

214592064 has 56 divisors (see below), whose sum is σ = 570573408. Its totient is φ = 71178240.

The previous prime is 214592039. The next prime is 214592143. The reversal of 214592064 is 460295412.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 37864 + ... + 43160.

Almost surely, 2214592064 is an apocalyptic number.

214592064 is a gapful number since it is divisible by the number (24) 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 214592064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285286704).

214592064 is an abundant number, since it is smaller than the sum of its proper divisors (355981344).

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

214592064 is a wasteful number, since it uses less digits than its factorization.

214592064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5523 (or 5513 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 214592064 is about 14648.9611918388. The cubic root of 214592064 is about 598.6935127723.

The spelling of 214592064 in words is "two hundred fourteen million, five hundred ninety-two thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 211 422 633 844 1266 1688 2532 3376 5064 5297 6752 10128 10594 13504 15891 20256 21188 31782 40512 42376 63564 84752 127128 169504 254256 339008 508512 1017024 1117667 2235334 3353001 4470668 6706002 8941336 13412004 17882672 26824008 35765344 53648016 71530688 107296032 214592064