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822042540 = 2233511223547
BaseRepresentation
bin110000111111110…
…101111110101100
32010021211002101000
4300333311332230
53140420330130
6213323120300
726241150324
oct6077657654
92107732330
10822042540
11392026800
121ab373090
131013ccc07
147b266284
154c27d260
hex30ff5fac

822042540 has 288 divisors, whose sum is σ = 2938682880. Its totient is φ = 190270080.

The previous prime is 822042539. The next prime is 822042583. The reversal of 822042540 is 45240228.

It is a happy number.

822042540 is a `hidden beast` number, since 82 + 2 + 0 + 42 + 540 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 1502547 + ... + 1503093.

It is an arithmetic number, because the mean of its divisors is an integer number (10203760).

Almost surely, 2822042540 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 822042540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1469341440).

822042540 is an abundant number, since it is smaller than the sum of its proper divisors (2116640340).

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

822042540 is a wasteful number, since it uses less digits than its factorization.

822042540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 610 (or 591 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The square root of 822042540 is about 28671.2842405080. The cubic root of 822042540 is about 936.7666713272.

Adding to 822042540 its reverse (45240228), we get a palindrome (867282768).

The spelling of 822042540 in words is "eight hundred twenty-two million, forty-two thousand, five hundred forty".