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215043840 = 28325111697
BaseRepresentation
bin11001101000101…
…00111100000000
3112222122100200200
430310110330000
5420022400330
633201045200
75220561654
oct1464247400
9488570620
10215043840
11100428690
1260026800
133572389b
14207baa64
1513d2ba60
hexcd14f00

215043840 has 216 divisors, whose sum is σ = 812146608. Its totient is φ = 52101120.

The previous prime is 215043839. The next prime is 215043887. The reversal of 215043840 is 48340512.

It is a super-3 number, since 3×2150438403 (a number of 26 digits) contains 333 as substring.

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 23 ways as a sum of consecutive naturals, for example, 125872 + ... + 127568.

It is an arithmetic number, because the mean of its divisors is an integer number (3759938).

Almost surely, 2215043840 is an apocalyptic number.

215043840 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 215043840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (406073304).

215043840 is an abundant number, since it is smaller than the sum of its proper divisors (597102768).

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

215043840 is a wasteful number, since it uses less digits than its factorization.

215043840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1735 (or 1718 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 215043840 is about 14664.3731540083. The cubic root of 215043840 is about 599.1133570860.

The spelling of 215043840 in words is "two hundred fifteen million, forty-three thousand, eight hundred forty".