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214305832 = 23137129023
BaseRepresentation
bin11001100011000…
…00110000101000
3112221020212100001
430301200300220
5414330241312
633133152344
75211366226
oct1461406050
9487225301
10214305832
11aaa74164
125b92b6b4
13355259b0
1420667b16
1513c33057
hexcc60c28

214305832 has 32 divisors (see below), whose sum is σ = 438842880. Its totient is φ = 97513920.

The previous prime is 214305829. The next prime is 214305857. The reversal of 214305832 is 238503412.

214305832 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an alternating number because its digits alternate between even and odd.

It is a self number, because there is not a number n which added to its sum of digits gives 214305832.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7128 + ... + 21895.

It is an arithmetic number, because the mean of its divisors is an integer number (13713840).

Almost surely, 2214305832 is an apocalyptic number.

It is an amenable number.

214305832 is an abundant number, since it is smaller than the sum of its proper divisors (224537048).

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

214305832 is a wasteful number, since it uses less digits than its factorization.

214305832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29113 (or 29109 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 214305832 is about 14639.1882288602. The cubic root of 214305832 is about 598.4272067305.

The spelling of 214305832 in words is "two hundred fourteen million, three hundred five thousand, eight hundred thirty-two".

Divisors: 1 2 4 8 13 26 52 71 104 142 284 568 923 1846 3692 7384 29023 58046 116092 232184 377299 754598 1509196 2060633 3018392 4121266 8242532 16485064 26788229 53576458 107152916 214305832