Search a number
-
+
200210221211220 = 22325113111981272249
BaseRepresentation
bin101101100001011100010011…
…000111011001111001010100
3222020212220120112221001221100
4231201130103013121321110
5202220221013112224340
61545451150023350100
760112465631163243
oct5541342307317124
9866786515831840
10200210221211220
115887a750449850
121a5560b9bb2330
13879398706b31c
1437623253ac95a
151822dd9a1a830
hexb617131d9e54

200210221211220 has 288 divisors, whose sum is σ = 683944829568000. Its totient is φ = 46966046976000.

The previous prime is 200210221211183. The next prime is 200210221211237. The reversal of 200210221211220 is 22112122012002.

It is a happy number.

200210221211220 is a `hidden beast` number, since 2 + 0 + 0 + 2 + 10 + 221 + 211 + 220 = 666.

200210221211220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 200210221211193 and 200210221211202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 735257656 + ... + 735529904.

It is an arithmetic number, because the mean of its divisors is an integer number (2374808436000).

Almost surely, 2200210221211220 is an apocalyptic number.

200210221211220 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 200210221211220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341972414784000).

200210221211220 is an abundant number, since it is smaller than the sum of its proper divisors (483734608356780).

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

200210221211220 is a wasteful number, since it uses less digits than its factorization.

200210221211220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284287 (or 284282 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 200210221211220 its reverse (22112122012002), we get a palindrome (222322343223222).

The spelling of 200210221211220 in words is "two hundred trillion, two hundred ten billion, two hundred twenty-one million, two hundred eleven thousand, two hundred twenty".