Search a number
-
+
214305234 = 2311131012473
BaseRepresentation
bin11001100011000…
…00100111010010
3112221020211111220
430301200213102
5414330231414
633133145510
75211364413
oct1461404722
9487224456
10214305234
11aaa73770
125b92b296
1335525640
142066780a
1513c32ca9
hexcc609d2

214305234 has 64 divisors (see below), whose sum is σ = 508733568. Its totient is φ = 59328000.

The previous prime is 214305229. The next prime is 214305257. The reversal of 214305234 is 432503412.

It is an alternating number because its digits alternate between even and odd.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 85422 + ... + 87894.

It is an arithmetic number, because the mean of its divisors is an integer number (7948962).

Almost surely, 2214305234 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214305234, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254366784).

214305234 is an abundant number, since it is smaller than the sum of its proper divisors (294428334).

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

214305234 is a wasteful number, since it uses less digits than its factorization.

214305234 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2603.

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 214305234 is about 14639.1678042162. The cubic root of 214305234 is about 598.4266501120.

Adding to 214305234 its reverse (432503412), we get a palindrome (646808646).

The spelling of 214305234 in words is "two hundred fourteen million, three hundred five thousand, two hundred thirty-four".

Divisors: 1 2 3 6 11 13 22 26 33 39 66 78 101 143 202 286 303 429 606 858 1111 1313 2222 2473 2626 3333 3939 4946 6666 7419 7878 14443 14838 27203 28886 32149 43329 54406 64298 81609 86658 96447 163218 192894 249773 353639 499546 707278 749319 1060917 1498638 2121834 2747503 3247049 5495006 6494098 8242509 9741147 16485018 19482294 35717539 71435078 107152617 214305234