Search a number
-
+
414224023 = 17291495639
BaseRepresentation
bin11000101100001…
…000111010010111
31001212102202112111
4120230020322113
51322020132043
6105034131451
713156563133
oct3054107227
91055382474
10414224023
111a2900704
12b6880b87
1367a81995
143d0283c3
152657309d
hex18b08e97

414224023 has 16 divisors (see below), whose sum is σ = 456840000. Its totient is φ = 373821952.

The previous prime is 414224003. The next prime is 414224039. The reversal of 414224023 is 320422414.

It is a happy number.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-414224023 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 414223985 and 414224003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414224003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 70638 + ... + 76276.

It is an arithmetic number, because the mean of its divisors is an integer number (28552500).

Almost surely, 2414224023 is an apocalyptic number.

414224023 is a deficient number, since it is larger than the sum of its proper divisors (42615977).

414224023 is a wasteful number, since it uses less digits than its factorization.

414224023 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5834.

The product of its (nonzero) digits is 1536, while the sum is 22.

The square root of 414224023 is about 20352.4942697449. The cubic root of 414224023 is about 745.4383996886.

Adding to 414224023 its reverse (320422414), we get a palindrome (734646437).

The spelling of 414224023 in words is "four hundred fourteen million, two hundred twenty-four thousand, twenty-three".

Divisors: 1 17 29 149 493 2533 4321 5639 73457 95863 163531 840211 2780027 14283587 24366119 414224023