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871223222016 = 28327372236547
BaseRepresentation
bin11001010110110001111…
…00110101111100000000
310002021210001012022000100
430223120330311330000
5103233231121101031
61504122345122400
7116641503125430
oct14533074657400
93067701168010
10871223222016
11306535883654
12120a22a89400
1364204959324
143024b5d42c0
15179e0ec8de6
hexcad8f35f00

871223222016 has 432 divisors, whose sum is σ = 2962064594944. Its totient is φ = 241070432256.

The previous prime is 871223221901. The next prime is 871223222017. The reversal of 871223222016 is 610222322178.

871223222016 is a `hidden beast` number, since 8 + 7 + 122 + 322 + 201 + 6 = 666.

871223222016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×8712232220163 (a number of 37 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (871223222017) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 133068855 + ... + 133075401.

Almost surely, 2871223222016 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 871223222016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1481032297472).

871223222016 is an abundant number, since it is smaller than the sum of its proper divisors (2090841372928).

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

871223222016 is a wasteful number, since it uses less digits than its factorization.

871223222016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6836 (or 6819 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 871223222016 in words is "eight hundred seventy-one billion, two hundred twenty-three million, two hundred twenty-two thousand, sixteen".