Search a number
-
+
423423100 = 225223227811
BaseRepresentation
bin11001001111001…
…110110001111100
31002111202010022001
4121033032301330
51331344014400
6110003232044
713331015452
oct3117166174
91074663261
10423423100
111a8014051
12b9978624
1369952b19
14403409d2
152728da6a
hex193cec7c

423423100 has 72 divisors (see below), whose sum is σ = 964188288. Its totient is φ = 161092800.

The previous prime is 423423073. The next prime is 423423101. The reversal of 423423100 is 1324324.

It is a super-2 number, since 2×4234231002 = 358574243227220000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (423423101) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 521695 + ... + 522505.

It is an arithmetic number, because the mean of its divisors is an integer number (13391504).

Almost surely, 2423423100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 423423100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (482094144).

423423100 is an abundant number, since it is smaller than the sum of its proper divisors (540765188).

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

423423100 is a wasteful number, since it uses less digits than its factorization.

423423100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1075 (or 1068 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

The square root of 423423100 is about 20577.2471433863. The cubic root of 423423100 is about 750.9162727291.

Adding to 423423100 its reverse (1324324), we get a palindrome (424747424).

The spelling of 423423100 in words is "four hundred twenty-three million, four hundred twenty-three thousand, one hundred".

Divisors: 1 2 4 5 10 20 23 25 46 50 92 100 115 227 230 454 460 575 811 908 1135 1150 1622 2270 2300 3244 4055 4540 5221 5675 8110 10442 11350 16220 18653 20275 20884 22700 26105 37306 40550 52210 74612 81100 93265 104420 130525 184097 186530 261050 368194 373060 466325 522100 736388 920485 932650 1840970 1865300 3681940 4234231 4602425 8468462 9204850 16936924 18409700 21171155 42342310 84684620 105855775 211711550 423423100