Search a number
-
+
200233424200212 = 223313226980950411
BaseRepresentation
bin101101100001110001111010…
…000111110010001000010100
3222020222010110121110001002000
4231201301322013302020110
5202221111023043401322
61545505544252115300
760114246625266414
oct5541617207621024
9866863417401060
10200233424200212
1158889577982907
121a55a6b4765b30
138795c141c0100
1437634c6c1a644
1518237e6a753ac
hexb61c7a1f2214

200233424200212 has 288 divisors, whose sum is σ = 564926349456000. Its totient is φ = 61304160752640.

The previous prime is 200233424200211. The next prime is 200233424200219. The reversal of 200233424200212 is 212002424332002.

200233424200212 is a `hidden beast` number, since 2 + 0 + 0 + 2 + 3 + 3 + 424 + 20 + 0 + 212 = 666.

It is a super-2 number, since 2×2002334242002122 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200233424200211) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3971993287 + ... + 3972043697.

It is an arithmetic number, because the mean of its divisors is an integer number (1961549824500).

Almost surely, 2200233424200212 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 200233424200212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282463174728000).

200233424200212 is an abundant number, since it is smaller than the sum of its proper divisors (364692925255788).

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

200233424200212 is a wasteful number, since it uses less digits than its factorization.

200233424200212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51528 (or 51507 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 200233424200212 its reverse (212002424332002), we get a palindrome (412235848532214).

The spelling of 200233424200212 in words is "two hundred trillion, two hundred thirty-three billion, four hundred twenty-four million, two hundred thousand, two hundred twelve".