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214085140 = 22510704257
BaseRepresentation
bin11001100001010…
…10111000010100
3112220211122121021
430300222320110
5414301211030
633124330524
75206456633
oct1460527024
9486748537
10214085140
11aa933375
125b843a44
13354793c9
142060b51a
1513bdc97a
hexcc2ae14

214085140 has 12 divisors (see below), whose sum is σ = 449578836. Its totient is φ = 85634048.

The previous prime is 214085119. The next prime is 214085143. The reversal of 214085140 is 41580412.

It can be written as a sum of positive squares in 2 ways, for example, as 120033936 + 94051204 = 10956^2 + 9698^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214085143) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5352109 + ... + 5352148.

It is an arithmetic number, because the mean of its divisors is an integer number (37464903).

Almost surely, 2214085140 is an apocalyptic number.

214085140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214085140 is an abundant number, since it is smaller than the sum of its proper divisors (235493696).

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

214085140 is a wasteful number, since it uses less digits than its factorization.

214085140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10704266 (or 10704264 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 25.

The square root of 214085140 is about 14631.6485742380. The cubic root of 214085140 is about 598.2217161996.

The spelling of 214085140 in words is "two hundred fourteen million, eighty-five thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 10704257 21408514 42817028 53521285 107042570 214085140