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7082225280 = 273551331113
BaseRepresentation
bin1101001100010001…
…00010111010000000
3200021120110022200000
412212020202322000
5104001022202110
63130432400000
7340334631054
oct64610427200
920246408600
107082225280
113004805749
1214579a6000
1388b365160
144b2841c64
152b6b5c1c0
hex1a6222e80

7082225280 has 768 divisors, whose sum is σ = 28443018240. Its totient is φ = 1672151040.

The previous prime is 7082225263. The next prime is 7082225299. The reversal of 7082225280 is 825222807.

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, 62674504 + ... + 62674616.

It is an arithmetic number, because the mean of its divisors is an integer number (37035180).

Almost surely, 27082225280 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7082225280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14221509120).

7082225280 is an abundant number, since it is smaller than the sum of its proper divisors (21360792960).

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

7082225280 is a wasteful number, since it uses less digits than its factorization.

7082225280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 7082225280 is about 84155.9580778450. The cubic root of 7082225280 is about 1920.3921074173.

The spelling of 7082225280 in words is "seven billion, eighty-two million, two hundred twenty-five thousand, two hundred eighty".