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1022033142 = 2321319476773
BaseRepresentation
bin111100111010101…
…111110011110110
32122020010122220100
4330322233303312
54043120030032
6245225414530
734220065314
oct7472576366
92566118810
101022033142
11484a02699
1224633a446
13133982b50
1499a450b4
155ead497c
hex3ceafcf6

1022033142 has 192 divisors, whose sum is σ = 2637573120. Its totient is φ = 283295232.

The previous prime is 1022033113. The next prime is 1022033147. The reversal of 1022033142 is 2413302201.

It is a super-3 number, since 3×10220331423 (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1022033147) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14000418 + ... + 14000490.

It is an arithmetic number, because the mean of its divisors is an integer number (13737360).

Almost surely, 21022033142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1022033142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1318786560).

1022033142 is an abundant number, since it is smaller than the sum of its proper divisors (1615539978).

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

1022033142 is a wasteful number, since it uses less digits than its factorization.

1022033142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 1022033142 is about 31969.2530722881. The cubic root of 1022033142 is about 1007.2910914539.

Adding to 1022033142 its reverse (2413302201), we get a palindrome (3435335343).

The spelling of 1022033142 in words is "one billion, twenty-two million, thirty-three thousand, one hundred forty-two".