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434424100220 = 2251121155115541
BaseRepresentation
bin1100101001001011011…
…00011011010101111100
31112112022202120211221122
412110211230123111330
524104200032201340
6531323252050112
743246301632145
oct6244554332574
91475282524848
10434424100220
11158269096400
127023b903938
1331c73453c06
1417051ddaacc
15b478b1bdb5
hex6525b1b57c

434424100220 has 72 divisors (see below), whose sum is σ = 1002917053824. Its totient is φ = 157948560000.

The previous prime is 434424100217. The next prime is 434424100267. The reversal of 434424100220 is 22001424434.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 434424100220.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27945650 + ... + 27961190.

Almost surely, 2434424100220 is an apocalyptic number.

It is an amenable number.

434424100220 is an abundant number, since it is smaller than the sum of its proper divisors (568492953604).

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

434424100220 is a wasteful number, since it uses less digits than its factorization.

434424100220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27123 (or 27110 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 26.

Adding to 434424100220 its reverse (22001424434), we get a palindrome (456425524654).

The spelling of 434424100220 in words is "four hundred thirty-four billion, four hundred twenty-four million, one hundred thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 121 220 242 484 605 1210 2420 11551 15541 23102 31082 46204 57755 62164 77705 115510 127061 155410 170951 231020 254122 310820 341902 508244 635305 683804 854755 1270610 1397671 1709510 1880461 2541220 2795342 3419020 3760922 5590684 6988355 7521844 9402305 13976710 18804610 27953420 37609220 179514091 359028182 718056364 897570455 1795140910 1974655001 3590281820 3949310002 7898620004 9873275005 19746550010 21721205011 39493100020 43442410022 86884820044 108606025055 217212050110 434424100220