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2240110080 = 2935513277
BaseRepresentation
bin1000010110000101…
…0101111000000000
312210010011101100000
42011201111320000
514041432010310
61010141200000
7106340423115
oct20541257000
95703141300
102240110080
11a4a53594a
12526260000
13299136330
1417371c90c
15d19e14c0
hex85855e00

2240110080 has 480 divisors, whose sum is σ = 8695630944. Its totient is φ = 549421056.

The previous prime is 2240110063. The next prime is 2240110091. The reversal of 2240110080 is 800110422.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 8086902 + ... + 8087178.

Almost surely, 22240110080 is an apocalyptic number.

2240110080 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 2240110080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4347815472).

2240110080 is an abundant number, since it is smaller than the sum of its proper divisors (6455520864).

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

2240110080 is an equidigital number, since it uses as much as digits as its factorization.

2240110080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 2240110080 is about 47329.8011827643. The cubic root of 2240110080 is about 1308.4479569969.

The spelling of 2240110080 in words is "two billion, two hundred forty million, one hundred ten thousand, eighty".