Search a number
-
+
2200201222212 = 2234743109320641
BaseRepresentation
bin100000000001000110001…
…101100101100001000100
321210100002210202200110000
4200001012031211201010
5242022003003102322
64402431500001300
7314650015546530
oct40010615454104
97710083680400
102200201222212
1177911125a234
122b64b6b30230
1312c62a477c36
14786c1590bc0
153c373e4d3ac
hex20046365844

2200201222212 has 240 divisors, whose sum is σ = 6732791562112. Its totient is φ = 613418158080.

The previous prime is 2200201222211. The next prime is 2200201222237. The reversal of 2200201222212 is 2122221020022.

2200201222212 is a `hidden beast` number, since 220 + 0 + 201 + 22 + 221 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (2200201222211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 106583412 + ... + 106604052.

Almost surely, 22200201222212 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 2200201222212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3366395781056).

2200201222212 is an abundant number, since it is smaller than the sum of its proper divisors (4532590339900).

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

2200201222212 is a wasteful number, since it uses less digits than its factorization.

2200201222212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21800 (or 21789 counting only the distinct ones).

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

Adding to 2200201222212 its reverse (2122221020022), we get a palindrome (4322422242234).

The spelling of 2200201222212 in words is "two trillion, two hundred billion, two hundred one million, two hundred twenty-two thousand, two hundred twelve".