Search a number
-
+
220202001012 = 2237223137157757
BaseRepresentation
bin1100110100010100001…
…1111110001001110100
3210001101020220200001010
43031011003332021310
512101433203013022
6245054233032220
721623545061100
oct3150503761164
9701336820033
10220202001012
118542931a604
1236815255670
13179c3801b26
14a92d14a900
155adbce250c
hex33450fe274

220202001012 has 288 divisors, whose sum is σ = 633066755328. Its totient is φ = 59281238016.

The previous prime is 220202000999. The next prime is 220202001017. The reversal of 220202001012 is 210100202022.

220202001012 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 (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220202001017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 290887338 + ... + 290888094.

It is an arithmetic number, because the mean of its divisors is an integer number (2198148456).

Almost surely, 2220202001012 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 220202001012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316533377664).

220202001012 is an abundant number, since it is smaller than the sum of its proper divisors (412864754316).

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

220202001012 is a wasteful number, since it uses less digits than its factorization.

220202001012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1095 (or 1086 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 220202001012 its reverse (210100202022), we get a palindrome (430302203034).

The spelling of 220202001012 in words is "two hundred twenty billion, two hundred two million, one thousand, twelve".