Search a number
-
+
204230416 = 24132471607
BaseRepresentation
bin11000010110001…
…00111100010000
3112020021222110111
430023010330100
5404240333131
632133211104
75026633645
oct1413047420
9466258414
10204230416
11a5312375
1258490a94
1333408a00
141d1a3dcc
1512de2ab1
hexc2c4f10

204230416 has 60 divisors (see below), whose sum is σ = 437864832. Its totient is φ = 92197248.

The previous prime is 204230413. The next prime is 204230419. The reversal of 204230416 is 614032402.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (204230413) and next prime (204230419).

It is not an unprimeable number, because it can be changed into a prime (204230413) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 126285 + ... + 127891.

Almost surely, 2204230416 is an apocalyptic number.

204230416 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 204230416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218932416).

204230416 is an abundant number, since it is smaller than the sum of its proper divisors (233634416).

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

204230416 is a wasteful number, since it uses less digits than its factorization.

204230416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1688 (or 1669 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 204230416 is about 14290.9207541012. The cubic root of 204230416 is about 588.8980830863.

Adding to 204230416 its reverse (614032402), we get a palindrome (818262818).

The spelling of 204230416 in words is "two hundred four million, two hundred thirty thousand, four hundred sixteen".

Divisors: 1 2 4 8 13 16 26 47 52 94 104 169 188 208 338 376 611 676 752 1222 1352 1607 2444 2704 3214 4888 6428 7943 9776 12856 15886 20891 25712 31772 41782 63544 75529 83564 127088 151058 167128 271583 302116 334256 543166 604232 981877 1086332 1208464 1963754 2172664 3927508 4345328 7855016 12764401 15710032 25528802 51057604 102115208 204230416