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822426284240 = 245113172391901
BaseRepresentation
bin10111111011111000110…
…11010011000011010000
32220121211022011000111122
423331330123103003100
5101433312112043430
61425452321301412
7113263330033631
oct13757433230320
92817738130448
10822426284240
11297875219000
12113484a94868
135c729213852
142bb3c98d888
15165d7076ee5
hexbf7c6d30d0

822426284240 has 320 divisors, whose sum is σ = 2237423938560. Its totient is φ = 280146944000.

The previous prime is 822426284227. The next prime is 822426284269. The reversal of 822426284240 is 42482624228.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 822426284191 and 822426284200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 432627290 + ... + 432629190.

It is an arithmetic number, because the mean of its divisors is an integer number (6991949808).

Almost surely, 2822426284240 is an apocalyptic number.

822426284240 is a gapful number since it is divisible by the number (80) 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 822426284240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1118711969280).

822426284240 is an abundant number, since it is smaller than the sum of its proper divisors (1414997654320).

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

822426284240 is a wasteful number, since it uses less digits than its factorization.

822426284240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2203 (or 2175 counting only the distinct ones).

The product of its (nonzero) digits is 786432, while the sum is 44.

The spelling of 822426284240 in words is "eight hundred twenty-two billion, four hundred twenty-six million, two hundred eighty-four thousand, two hundred forty".