Search a number
-
+
2220032231100 = 22325213940734357
BaseRepresentation
bin100000010011100100001…
…110111000011010111100
321212020021212022022110200
4200103210032320122330
5242333111222343400
64415511351203500
7316251316416135
oct40234416703274
97766255268420
102220032231100
11786568355782
122ba310376590
1313146ab34818
1479643246c8c
153cb34e37b00
hex204e43b86bc

2220032231100 has 216 divisors, whose sum is σ = 7011959070480. Its totient is φ = 587470371840.

The previous prime is 2220032231099. The next prime is 2220032231119. The reversal of 2220032231100 is 11322300222.

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 (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 509530122 + ... + 509534478.

Almost surely, 22220032231100 is an apocalyptic number.

2220032231100 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 2220032231100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3505979535240).

2220032231100 is an abundant number, since it is smaller than the sum of its proper divisors (4791926839380).

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

2220032231100 is a wasteful number, since it uses less digits than its factorization.

2220032231100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8589 (or 8579 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 2220032231100 its reverse (11322300222), we get a palindrome (2231354531322).

The spelling of 2220032231100 in words is "two trillion, two hundred twenty billion, thirty-two million, two hundred thirty-one thousand, one hundred".