Search a number
-
+
2166230022000 = 24353112371101199
BaseRepresentation
bin11111100001011101010…
…111101111011101110000
321200002102021221220111120
4133201131113233131300
5240442414341201000
64335052523142240
7312335125243512
oct37413527573560
97602367856446
102166230022000
11765769412760
122ab9b6074980
13129375436035
1476bbb96bbb2
153b53688c6a0
hex1f85d5ef770

2166230022000 has 1280 divisors, whose sum is σ = 8182790553600. Its totient is φ = 487872000000.

The previous prime is 2166230021983. The next prime is 2166230022013. The reversal of 2166230022000 is 2200326612.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 10885577901 + ... + 10885578099.

It is an arithmetic number, because the mean of its divisors is an integer number (6392805120).

Almost surely, 22166230022000 is an apocalyptic number.

2166230022000 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 2166230022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4091395276800).

2166230022000 is an abundant number, since it is smaller than the sum of its proper divisors (6016560531600).

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

2166230022000 is a wasteful number, since it uses less digits than its factorization.

2166230022000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 431 (or 415 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 2166230022000 its reverse (2200326612), we get a palindrome (2168430348612).

The spelling of 2166230022000 in words is "two trillion, one hundred sixty-six billion, two hundred thirty million, twenty-two thousand".