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214771140 = 223251193173
BaseRepresentation
bin11001100110100…
…10010111000100
3112222010111121200
430303102113010
5414440134030
633151142500
75215344633
oct1463222704
9488114550
10214771140
11100261811
125bb14a30
133565971c
142074951a
1513cc5d60
hexccd25c4

214771140 has 36 divisors (see below), whose sum is σ = 651473004. Its totient is φ = 57272256.

The previous prime is 214771127. The next prime is 214771157. The reversal of 214771140 is 41177412.

It can be written as a sum of positive squares in 2 ways, for example, as 63776196 + 150994944 = 7986^2 + 12288^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×2147711402 = 92253285153799200, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 596407 + ... + 596766.

Almost surely, 2214771140 is an apocalyptic number.

214771140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214771140 is an abundant number, since it is smaller than the sum of its proper divisors (436701864).

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

214771140 is a wasteful number, since it uses less digits than its factorization.

214771140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1193188 (or 1193183 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 27.

The square root of 214771140 is about 14655.0721594948. The cubic root of 214771140 is about 598.8600020462.

The spelling of 214771140 in words is "two hundred fourteen million, seven hundred seventy-one thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 1193173 2386346 3579519 4772692 5965865 7159038 10738557 11931730 14318076 17897595 21477114 23863460 35795190 42954228 53692785 71590380 107385570 214771140