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214134446232 = 233371710182483
BaseRepresentation
bin1100011101101101101…
…0000101100010011000
3202110201101201221122000
43013123122011202120
512002021404234412
6242212204201000
721320310522030
oct3073332054230
9673641657560
10214134446232
11828a5348923
1235601239160
1317267742525
14a5153948c0
1558842b34dc
hex31db685898

214134446232 has 256 divisors, whose sum is σ = 726914995200. Its totient is φ = 57011558400.

The previous prime is 214134446203. The next prime is 214134446233. The reversal of 214134446232 is 232644431412.

214134446232 is a `hidden beast` number, since 2 + 1 + 41 + 344 + 46 + 232 = 666.

214134446232 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2141344462322 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214134446233) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2554863 + ... + 2637345.

It is an arithmetic number, because the mean of its divisors is an integer number (2839511700).

Almost surely, 2214134446232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214134446232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363457497600).

214134446232 is an abundant number, since it is smaller than the sum of its proper divisors (512780548968).

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

214134446232 is a wasteful number, since it uses less digits than its factorization.

214134446232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82623 (or 82613 counting only the distinct ones).

The product of its digits is 110592, while the sum is 36.

Adding to 214134446232 its reverse (232644431412), we get a palindrome (446778877644).

The spelling of 214134446232 in words is "two hundred fourteen billion, one hundred thirty-four million, four hundred forty-six thousand, two hundred thirty-two".