Search a number
-
+
200230202003220 = 22325171967239449479
BaseRepresentation
bin101101100001101110111010…
…000100000100111100010100
3222020221211011001022110202200
4231201232322010010330110
5202221032423203100340
61545504252425204500
760114104031130164
oct5541567204047424
9866854131273680
10200230202003220
1158888174049594
121a559b55630730
13879581c77c17c
14376329ccd45a4
1518236a8c40330
hexb61bba104f14

200230202003220 has 1152 divisors, whose sum is σ = 692897587200000. Its totient is φ = 46500811112448.

The previous prime is 200230202003191. The next prime is 200230202003317. The reversal of 200230202003220 is 22300202032002.

200230202003220 is a `hidden beast` number, since 20 + 0 + 2 + 302 + 0 + 20 + 0 + 322 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 200230202003193 and 200230202003202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 418017122941 + ... + 418017123419.

It is an arithmetic number, because the mean of its divisors is an integer number (601473600000).

Almost surely, 2200230202003220 is an apocalyptic number.

200230202003220 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 200230202003220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346448793600000).

200230202003220 is an abundant number, since it is smaller than the sum of its proper divisors (492667385196780).

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

200230202003220 is a wasteful number, since it uses less digits than its factorization.

200230202003220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1285 (or 1280 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

Adding to 200230202003220 its reverse (22300202032002), we get a palindrome (222530404035222).

The spelling of 200230202003220 in words is "two hundred trillion, two hundred thirty billion, two hundred two million, three thousand, two hundred twenty".