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1022020092 = 223104327
BaseRepresentation
bin111100111010101…
…100100111111100
32122020010000000000
4330322230213330
54043114120332
6245225234300
734220012262
oct7472544774
92566100000
101022020092
114849a3905
12246332990
13133979c22
1499a40432
155ead0b7c
hex3ceac9fc

1022020092 has 66 divisors (see below), whose sum is σ = 2683407608. Its totient is φ = 340594632.

The previous prime is 1022020037. The next prime is 1022020099. The reversal of 1022020092 is 2900202201.

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 (1022020099) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 21 ways as a sum of consecutive naturals, for example, 234033 + ... + 238359.

Almost surely, 21022020092 is an apocalyptic number.

1022020092 is a gapful number since it is divisible by the number (12) 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 1022020092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1341703804).

1022020092 is an abundant number, since it is smaller than the sum of its proper divisors (1661387516).

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

1022020092 is an frugal number, since it uses more digits than its factorization.

1022020092 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4361 (or 4332 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 1022020092 is about 31969.0489692765. The cubic root of 1022020092 is about 1007.2868041811.

Adding to 1022020092 its reverse (2900202201), we get a palindrome (3922222293).

The spelling of 1022020092 in words is "one billion, twenty-two million, twenty thousand, ninety-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 729 972 1458 2187 2916 4327 4374 6561 8654 8748 12981 13122 17308 19683 25962 26244 38943 39366 51924 59049 77886 78732 116829 118098 155772 233658 236196 350487 467316 700974 1051461 1401948 2102922 3154383 4205844 6308766 9463149 12617532 18926298 28389447 37852596 56778894 85168341 113557788 170336682 255505023 340673364 511010046 1022020092