Search a number
-
+
2210022210000 = 243541137181001
BaseRepresentation
bin100000001010001111100…
…101101011100111010000
321211021110020200112222110
4200022033211223213100
5242202111141210000
64411134205505320
7315445260556143
oct40121745534720
97737406615873
102210022210000
117822a0a16770
122b8397b72240
13130534049007
1478d73a3605a
153c74b24a850
hex2028f96b9d0

2210022210000 has 400 divisors, whose sum is σ = 7993204705728. Its totient is φ = 521280000000.

The previous prime is 2210022209929. The next prime is 2210022210031. The reversal of 2210022210000 is 122200122.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (12).

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 79 ways as a sum of consecutive naturals, for example, 12119500 + ... + 12300500.

Almost surely, 22210022210000 is an apocalyptic number.

2210022210000 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 2210022210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3996602352864).

2210022210000 is an abundant number, since it is smaller than the sum of its proper divisors (5783182495728).

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

2210022210000 is a wasteful number, since it uses less digits than its factorization.

2210022210000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181080 (or 181059 counting only the distinct ones).

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

Adding to 2210022210000 its reverse (122200122), we get a palindrome (2210144410122).

The spelling of 2210022210000 in words is "two trillion, two hundred ten billion, twenty-two million, two hundred ten thousand".