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214130130 = 23517616883
BaseRepresentation
bin11001100001101…
…01110111010010
3112220220221022120
430300311313102
5414304131010
633125315110
75210035044
oct1460656722
9486827276
10214130130
11aa964155
125b865a96
1335493a26
142061da94
1513beae70
hexcc35dd2

214130130 has 64 divisors (see below), whose sum is σ = 553143168. Its totient is φ = 52853760.

The previous prime is 214130117. The next prime is 214130131. The reversal of 214130130 is 31031412.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (214130131) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27669 + ... + 34551.

It is an arithmetic number, because the mean of its divisors is an integer number (8642862).

Almost surely, 2214130130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214130130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276571584).

214130130 is an abundant number, since it is smaller than the sum of its proper divisors (339013038).

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

214130130 is a wasteful number, since it uses less digits than its factorization.

214130130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6971.

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 214130130 is about 14633.1859142157. The cubic root of 214130130 is about 598.2636187030.

Adding to 214130130 its reverse (31031412), we get a palindrome (245161542).

The spelling of 214130130 in words is "two hundred fourteen million, one hundred thirty thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 17 30 34 51 61 85 102 122 170 183 255 305 366 510 610 915 1037 1830 2074 3111 5185 6222 6883 10370 13766 15555 20649 31110 34415 41298 68830 103245 117011 206490 234022 351033 419863 585055 702066 839726 1170110 1259589 1755165 2099315 2519178 3510330 4198630 6297945 7137671 12595890 14275342 21413013 35688355 42826026 71376710 107065065 214130130