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214945464 = 23318149481
BaseRepresentation
bin11001100111111…
…00111010111000
3112222110100202010
430303330322320
5420011223324
633155005520
75220002106
oct1463747270
9488410663
10214945464
11100370788
125bb998a0
13356bab86
1420792c76
1513d0c829
hexccfceb8

214945464 has 32 divisors (see below), whose sum is σ = 540343440. Its totient is φ = 71251200.

The previous prime is 214945459. The next prime is 214945513. The reversal of 214945464 is 464549412.

214945464 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20397 + ... + 29084.

Almost surely, 2214945464 is an apocalyptic number.

214945464 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

214945464 is an abundant number, since it is smaller than the sum of its proper divisors (325397976).

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

214945464 is a wasteful number, since it uses less digits than its factorization.

214945464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49671 (or 49667 counting only the distinct ones).

The product of its digits is 138240, while the sum is 39.

The square root of 214945464 is about 14661.0185185068. The cubic root of 214945464 is about 599.0219844533.

The spelling of 214945464 in words is "two hundred fourteen million, nine hundred forty-five thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 24 181 362 543 724 1086 1448 2172 4344 49481 98962 148443 197924 296886 395848 593772 1187544 8956061 17912122 26868183 35824244 53736366 71648488 107472732 214945464