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14213000 = 235361233
BaseRepresentation
bin110110001101…
…111110001000
3222202002120102
4312031332020
512114304000
61224344532
7231544214
oct66157610
928662512
1014213000
11802848a
124915148
132c38379
141c5d944
1513ab3d5
hexd8df88

14213000 has 64 divisors (see below), whose sum is σ = 33948720. Its totient is φ = 5568000.

The previous prime is 14212999. The next prime is 14213009. The reversal of 14213000 is 31241.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 1094116 + 13118884 = 1046^2 + 3622^2 .

It is not an unprimeable number, because it can be changed into a prime (14213009) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 60884 + ... + 61116.

Almost surely, 214213000 is an apocalyptic number.

14213000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14213000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16974360).

14213000 is an abundant number, since it is smaller than the sum of its proper divisors (19735720).

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

14213000 is a wasteful number, since it uses less digits than its factorization.

14213000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 14213000 is about 3770.0132625761. The cubic root of 14213000 is about 242.2303659817.

Adding to 14213000 its reverse (31241), we get a palindrome (14244241).

The spelling of 14213000 in words is "fourteen million, two hundred thirteen thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 61 100 122 125 200 233 244 250 305 466 488 500 610 932 1000 1165 1220 1525 1864 2330 2440 3050 4660 5825 6100 7625 9320 11650 12200 14213 15250 23300 28426 29125 30500 46600 56852 58250 61000 71065 113704 116500 142130 233000 284260 355325 568520 710650 1421300 1776625 2842600 3553250 7106500 14213000