Search a number
-
+
214130176 = 291353607
BaseRepresentation
bin11001100001101…
…01111000000000
3112220220221101021
430300311320000
5414304131201
633125315224
75210035141
oct1460657000
9486827337
10214130176
11aa964197
125b865b14
1335493a60
142061dac8
1513beaea1
hexcc35e00

214130176 has 80 divisors (see below), whose sum is σ = 470219904. Its totient is φ = 96804864.

The previous prime is 214130143. The next prime is 214130177. The reversal of 214130176 is 671031412.

It is a self number, because there is not a number n which added to its sum of digits gives 214130176.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214130177) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 352465 + ... + 353071.

Almost surely, 2214130176 is an apocalyptic number.

214130176 is a gapful number since it is divisible by the number (26) 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 214130176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235109952).

214130176 is an abundant number, since it is smaller than the sum of its proper divisors (256089728).

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

214130176 is an equidigital number, since it uses as much as digits as its factorization.

214130176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 691 (or 675 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 25.

The square root of 214130176 is about 14633.1874859854. The cubic root of 214130176 is about 598.2636615432.

Adding to 214130176 its reverse (671031412), we get a palindrome (885161588).

The spelling of 214130176 in words is "two hundred fourteen million, one hundred thirty thousand, one hundred seventy-six".

Divisors: 1 2 4 8 13 16 26 32 52 53 64 104 106 128 208 212 256 416 424 512 607 689 832 848 1214 1378 1664 1696 2428 2756 3328 3392 4856 5512 6656 6784 7891 9712 11024 13568 15782 19424 22048 27136 31564 32171 38848 44096 63128 64342 77696 88192 126256 128684 155392 176384 252512 257368 310784 352768 418223 505024 514736 836446 1010048 1029472 1672892 2020096 2058944 3345784 4040192 4117888 6691568 8235776 13383136 16471552 26766272 53532544 107065088 214130176