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214348540 = 22572218723
BaseRepresentation
bin11001100011010…
…11001011111100
3112221100000220211
430301223023330
5414333123130
633134122204
75211634600
oct1461531374
9487300824
10214348540
11aaaa325a
125b950364
133553c273
1420679500
1513c40a2a
hexcc6b2fc

214348540 has 36 divisors (see below), whose sum is σ = 523625256. Its totient is φ = 73490592.

The previous prime is 214348487. The next prime is 214348613. The reversal of 214348540 is 45843412.

214348540 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 polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 108382 + ... + 110341.

It is an arithmetic number, because the mean of its divisors is an integer number (14545146).

Almost surely, 2214348540 is an apocalyptic number.

214348540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214348540 is an abundant number, since it is smaller than the sum of its proper divisors (309276716).

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

214348540 is a wasteful number, since it uses less digits than its factorization.

214348540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218746 (or 218737 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 31.

The square root of 214348540 is about 14640.6468436337. The cubic root of 214348540 is about 598.4669566701.

The spelling of 214348540 in words is "two hundred fourteen million, three hundred forty-eight thousand, five hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 490 980 218723 437446 874892 1093615 1531061 2187230 3062122 4374460 6124244 7655305 10717427 15310610 21434854 30621220 42869708 53587135 107174270 214348540