Search a number
-
+
414523230 = 235115212411
BaseRepresentation
bin11000101101010…
…001111101011110
31001212222221222020
4120231101331132
51322104220410
6105044401010
713162250352
oct3055217536
91055887866
10414523230
111a2a95490
12b69a6166
1367b57c24
143d0a5462
15265d1a70
hex18b51f5e

414523230 has 64 divisors (see below), whose sum is σ = 1087831296. Its totient is φ = 100256000.

The previous prime is 414523201. The next prime is 414523259. The reversal of 414523230 is 32325414.

It is an interprime number because it is at equal distance from previous prime (414523201) and next prime (414523259).

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

It is a self number, because there is not a number n which added to its sum of digits gives 414523230.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 170725 + ... + 173135.

It is an arithmetic number, because the mean of its divisors is an integer number (16997364).

Almost surely, 2414523230 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 414523230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (543915648).

414523230 is an abundant number, since it is smaller than the sum of its proper divisors (673308066).

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

414523230 is a wasteful number, since it uses less digits than its factorization.

414523230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2953.

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

The square root of 414523230 is about 20359.8435652143. The cubic root of 414523230 is about 745.6178410001.

Adding to 414523230 its reverse (32325414), we get a palindrome (446848644).

The spelling of 414523230 in words is "four hundred fourteen million, five hundred twenty-three thousand, two hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 165 330 521 1042 1563 2411 2605 3126 4822 5210 5731 7233 7815 11462 12055 14466 15630 17193 24110 26521 28655 34386 36165 53042 57310 72330 79563 85965 132605 159126 171930 265210 397815 795630 1256131 2512262 3768393 6280655 7536786 12561310 13817441 18841965 27634882 37683930 41452323 69087205 82904646 138174410 207261615 414523230