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214313460 = 223519118701
BaseRepresentation
bin11001100011000…
…10100111110100
3112221021020210120
430301202213310
5414331012320
633133251540
75211430404
oct1461424764
9487236716
10214313460
11aaa79969
125b933bb0
13355292ca
142066a804
1513c35440
hexcc629f4

214313460 has 48 divisors (see below), whose sum is σ = 603251712. Its totient is φ = 56848000.

The previous prime is 214313453. The next prime is 214313461. The reversal of 214313460 is 64313412.

214313460 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 214313460.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214313461) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2110 + ... + 20810.

It is an arithmetic number, because the mean of its divisors is an integer number (12567744).

Almost surely, 2214313460 is an apocalyptic number.

214313460 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214313460 is an abundant number, since it is smaller than the sum of its proper divisors (388938252).

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

214313460 is a wasteful number, since it uses less digits than its factorization.

214313460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18904 (or 18902 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 214313460 is about 14639.4487601139. The cubic root of 214313460 is about 598.4343067840.

Adding to 214313460 its reverse (64313412), we get a palindrome (278626872).

The spelling of 214313460 in words is "two hundred fourteen million, three hundred thirteen thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 191 382 573 764 955 1146 1910 2292 2865 3820 5730 11460 18701 37402 56103 74804 93505 112206 187010 224412 280515 374020 561030 1122060 3571891 7143782 10715673 14287564 17859455 21431346 35718910 42862692 53578365 71437820 107156730 214313460