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1022435568 = 243372114391
BaseRepresentation
bin111100111100010…
…010000011110000
32122020220002221000
4330330102003300
54043220414233
6245242202000
734223362500
oct7474220360
92566802830
101022435568
11485157a80
122464b3300
13133a9407b
1499b0ba00
155eb63d13
hex3cf120f0

1022435568 has 240 divisors, whose sum is σ = 3725118720. Its totient is φ = 265507200.

The previous prime is 1022435551. The next prime is 1022435621. The reversal of 1022435568 is 8655342201.

It is a super-2 number, since 2×10224355682 = 2090748981422965248, which contains 22 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 an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 230653 + ... + 235043.

It is an arithmetic number, because the mean of its divisors is an integer number (15521328).

Almost surely, 21022435568 is an apocalyptic number.

1022435568 is a gapful number since it is divisible by the number (18) 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 1022435568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1862559360).

1022435568 is an abundant number, since it is smaller than the sum of its proper divisors (2702683152).

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

1022435568 is a wasteful number, since it uses less digits than its factorization.

1022435568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4433 (or 4414 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 1022435568 is about 31975.5464065901. The cubic root of 1022435568 is about 1007.4232812092.

Adding to 1022435568 its reverse (8655342201), we get a palindrome (9677777769).

The spelling of 1022435568 in words is "one billion, twenty-two million, four hundred thirty-five thousand, five hundred sixty-eight".