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23225205420 = 22325232243911
BaseRepresentation
bin10101101000010101…
…001000001010101100
32012221121022200100100
4111220111020022230
5340031123033140
614400340431100
71451353663104
oct255025101254
965847280310
1023225205420
11993902864a
1246020a8490
132261930001
1411a4792204
1590de97530
hex5685482ac

23225205420 has 108 divisors (see below), whose sum is σ = 73646301456. Its totient is φ = 5924086080.

The previous prime is 23225205413. The next prime is 23225205433. The reversal of 23225205420 is 2450252232.

23225205420 is a `hidden beast` number, since 2 + 32 + 2 + 5 + 205 + 420 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 26736 + ... + 217175.

Almost surely, 223225205420 is an apocalyptic number.

23225205420 is a gapful number since it is divisible by the number (20) 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 23225205420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36823150728).

23225205420 is an abundant number, since it is smaller than the sum of its proper divisors (50421096036).

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

23225205420 is a wasteful number, since it uses less digits than its factorization.

23225205420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243972 (or 243944 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 27.

Adding to 23225205420 its reverse (2450252232), we get a palindrome (25675457652).

The spelling of 23225205420 in words is "twenty-three billion, two hundred twenty-five million, two hundred five thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 30 36 45 46 60 69 90 92 115 138 180 207 230 276 345 414 460 529 690 828 1035 1058 1380 1587 2070 2116 2645 3174 4140 4761 5290 6348 7935 9522 10580 15870 19044 23805 31740 47610 95220 243911 487822 731733 975644 1219555 1463466 2195199 2439110 2926932 3658665 4390398 4878220 5609953 7317330 8780796 10975995 11219906 14634660 16829859 21951990 22439812 28049765 33659718 43903980 50489577 56099530 67319436 84149295 100979154 112199060 129028919 168298590 201958308 252447885 258057838 336597180 387086757 504895770 516115676 645144595 774173514 1009791540 1161260271 1290289190 1548347028 1935433785 2322520542 2580578380 3870867570 4645041084 5806301355 7741735140 11612602710 23225205420