Search a number
-
+
200401220410200 = 23335273601845881
BaseRepresentation
bin101101100100001110001011…
…100011100001101101011000
3222021120011120121121200122000
4231210032023203201231120
5202231333144411111300
61550115014423201000
760132340026451665
oct5544161343415530
9867504517550560
10200401220410200
1158943753521a17
121a5871232a6160
1387a89a56b9724
14376b683d0aa6c
151827d67ba5c00
hexb6438b8e1b58

200401220410200 has 384 divisors, whose sum is σ = 700891734849600. Its totient is φ = 52620503040000.

The previous prime is 200401220410169. The next prime is 200401220410231. The reversal of 200401220410200 is 2014022104002.

200401220410200 is a `hidden beast` number, since 2 + 0 + 0 + 40 + 12 + 2 + 0 + 410 + 200 = 666.

It is an interprime number because it is at equal distance from previous prime (200401220410169) and next prime (200401220410231).

It is a super-2 number, since 2×2004012204102002 (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 236491260 + ... + 237337140.

Almost surely, 2200401220410200 is an apocalyptic number.

200401220410200 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 200401220410200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350445867424800).

200401220410200 is an abundant number, since it is smaller than the sum of its proper divisors (500490514439400).

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

200401220410200 is a wasteful number, since it uses less digits than its factorization.

200401220410200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 846580 (or 846565 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 200401220410200 its reverse (2014022104002), we get a palindrome (202415242514202).

The spelling of 200401220410200 in words is "two hundred trillion, four hundred one billion, two hundred twenty million, four hundred ten thousand, two hundred".