Search a number
-
+
2197324026000 = 243253298947297
BaseRepresentation
bin11111111110011010101…
…101111101000010010000
321210001200021210222020100
4133332122231331002100
5242000104422313000
64401234155412400
7314515511023425
oct37763255750220
97701607728210
102197324026000
11777975146124
122b5a33454100
1312c28c35c87c
14784cb3d3d4c
153c256565a00
hex1ff9ab7d090

2197324026000 has 480 divisors, whose sum is σ = 8028532792800. Its totient is φ = 559379251200.

The previous prime is 2197324025999. The next prime is 2197324026059. The reversal of 2197324026000 is 6204237912.

2197324026000 is a `hidden beast` number, since 2 + 1 + 9 + 7 + 3 + 2 + 40 + 2 + 600 + 0 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 1989081481104 + 208242544896 = 1410348^2 + 456336^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 46434352 + ... + 46481648.

It is an arithmetic number, because the mean of its divisors is an integer number (16726109985).

Almost surely, 22197324026000 is an apocalyptic number.

2197324026000 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 2197324026000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4014266396400).

2197324026000 is an abundant number, since it is smaller than the sum of its proper divisors (5831208766800).

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

2197324026000 is a wasteful number, since it uses less digits than its factorization.

2197324026000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47444 (or 47425 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 2197324026000 in words is "two trillion, one hundred ninety-seven billion, three hundred twenty-four million, twenty-six thousand".