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2215026000 = 243453112113
BaseRepresentation
bin1000010000000110…
…1001110101010000
312201100221222110000
42010001221311100
514014021313000
61003443410000
7105614260515
oct20401516520
95640858400
102215026000
11a37362900
12519983900
13293b92a95
1417026d30c
15ce6d9000
hex84069d50

2215026000 has 600 divisors, whose sum is σ = 8872135272. Its totient is φ = 532224000.

The previous prime is 2215025957. The next prime is 2215026007. The reversal of 2215026000 is 6205122.

It can be written as a sum of positive squares in 4 ways, for example, as 583512336 + 1631513664 = 24156^2 + 40392^2 .

It is a tau number, because it is divible by the number of its divisors (600).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2215026007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 19601944 + ... + 19602056.

Almost surely, 22215026000 is an apocalyptic number.

2215026000 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 2215026000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4436067636).

2215026000 is an abundant number, since it is smaller than the sum of its proper divisors (6657109272).

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

2215026000 is a wasteful number, since it uses less digits than its factorization.

2215026000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 2215026000 is about 47064.0627230587. The cubic root of 2215026000 is about 1303.5457442687.

The spelling of 2215026000 in words is "two billion, two hundred fifteen million, twenty-six thousand".