Search a number
-
+
423344400220 = 225797109286001
BaseRepresentation
bin1100010100100010100…
…10101110011101011100
31111110201121011202212101
412022101102232131130
523414002131301340
6522252015414444
742404604012610
oct6122122563534
91443647152771
10423344400220
111535a2971845
126a069224424
1330bc8b72901
14166c0701340
15b02b087c9a
hex62914ae75c

423344400220 has 96 divisors (see below), whose sum is σ = 1035922124160. Its totient is φ = 142331904000.

The previous prime is 423344400217. The next prime is 423344400223. The reversal of 423344400220 is 22004443324.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (423344400217) and next prime (423344400223).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (423344400223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1337220 + ... + 1623220.

It is an arithmetic number, because the mean of its divisors is an integer number (10790855460).

Almost surely, 2423344400220 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 423344400220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (517961062080).

423344400220 is an abundant number, since it is smaller than the sum of its proper divisors (612577723940).

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

423344400220 is a wasteful number, since it uses less digits than its factorization.

423344400220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286223 (or 286221 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 28.

Adding to 423344400220 its reverse (22004443324), we get a palindrome (445348843544).

The spelling of 423344400220 in words is "four hundred twenty-three billion, three hundred forty-four million, four hundred thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 97 109 140 194 218 388 436 485 545 679 763 970 1090 1358 1526 1940 2180 2716 3052 3395 3815 6790 7630 10573 13580 15260 21146 42292 52865 74011 105730 148022 211460 286001 296044 370055 572002 740110 1144004 1430005 1480220 2002007 2860010 4004014 5720020 8008028 10010035 20020070 27742097 31174109 40040140 55484194 62348218 110968388 124696436 138710485 155870545 194194679 218218763 277420970 311741090 388389358 436437526 554841940 623482180 776778716 872875052 970973395 1091093815 1941946790 2182187630 3023888573 3883893580 4364375260 6047777146 12095554292 15119442865 21167220011 30238885730 42334440022 60477771460 84668880044 105836100055 211672200110 423344400220