Search a number
-
+
2210012200000 = 2655111004551
BaseRepresentation
bin100000001010001110111…
…111011111110001000000
321211021102112211222211201
4200022032333133301000
5242202101110400000
64411133211150544
7315445106515363
oct40121677376100
97737375758751
102210012200000
117822962aa040
122b8394745454
13130531c52a37
1478d7258c0da
153c74a41e96a
hex2028efdfc40

2210012200000 has 168 divisors, whose sum is σ = 5979840890688. Its totient is φ = 803640000000.

The previous prime is 2210012199979. The next prime is 2210012200003. The reversal of 2210012200000 is 22100122.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a self number, because there is not a number n which added to its sum of digits gives 2210012200000.

It is not an unprimeable number, because it can be changed into a prime (2210012200003) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1697725 + ... + 2702275.

It is an arithmetic number, because the mean of its divisors is an integer number (35594291016).

Almost surely, 22210012200000 is an apocalyptic number.

2210012200000 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 2210012200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2989920445344).

2210012200000 is an abundant number, since it is smaller than the sum of its proper divisors (3769828690688).

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

2210012200000 is an equidigital number, since it uses as much as digits as its factorization.

2210012200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1004599 (or 1004569 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 2210012200000 its reverse (22100122), we get a palindrome (2210034300122).

2210012200000 divided by its reverse (22100122) gives a 5-th power (100000 = 105).

The spelling of 2210012200000 in words is "two trillion, two hundred ten billion, twelve million, two hundred thousand".