Search a number
-
+
214310435 = 52329179359
BaseRepresentation
bin11001100011000…
…01111000100011
3112221021002122112
430301201320203
5414330413220
633133225535
75211415523
oct1461417043
9487232575
10214310435
11aaa77669
125b9322ab
1335527b11
1420669683
1513c345c5
hexcc61e23

214310435 has 32 divisors (see below), whose sum is σ = 279936000. Its totient is φ = 157015936.

The previous prime is 214310431. The next prime is 214310441. The reversal of 214310435 is 534013412.

It is not a de Polignac number, because 214310435 - 22 = 214310431 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a self number, because there is not a number n which added to its sum of digits gives 214310435.

It is not an unprimeable number, because it can be changed into a prime (214310431) 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 31 ways as a sum of consecutive naturals, for example, 596786 + ... + 597144.

It is an arithmetic number, because the mean of its divisors is an integer number (8748000).

Almost surely, 2214310435 is an apocalyptic number.

214310435 is a deficient number, since it is larger than the sum of its proper divisors (65625565).

214310435 is a wasteful number, since it uses less digits than its factorization.

214310435 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 595.

The product of its (nonzero) digits is 1440, while the sum is 23.

The square root of 214310435 is about 14639.3454430176. The cubic root of 214310435 is about 598.4314911694.

Adding to 214310435 its reverse (534013412), we get a palindrome (748323847).

The spelling of 214310435 in words is "two hundred fourteen million, three hundred ten thousand, four hundred thirty-five".

Divisors: 1 5 23 29 115 145 179 359 667 895 1795 3335 4117 5191 8257 10411 20585 25955 41285 52055 64261 119393 239453 321305 596965 1197265 1478003 1863569 7390015 9317845 42862087 214310435