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20202022000 = 245354118671
BaseRepresentation
bin10010110100001000…
…100110010001110000
31221010220200001100001
4102310020212101300
5312333204201000
613140343235344
71313424232216
oct226410462160
957126601301
1020202022000
118627573156
123ab9748b54
131b9c4bc394
14d99072cb6
157d387446a
hex4b4226470

20202022000 has 80 divisors (see below), whose sum is σ = 48941403264. Its totient is φ = 8065440000.

The previous prime is 20202021997. The next prime is 20202022007. The reversal of 20202022000 is 22020202.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20202022007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1072665 + ... + 1091335.

Almost surely, 220202022000 is an apocalyptic number.

20202022000 is a gapful number since it is divisible by the number (20) 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 20202022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24470701632).

20202022000 is an abundant number, since it is smaller than the sum of its proper divisors (28739381264).

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

20202022000 is a wasteful number, since it uses less digits than its factorization.

20202022000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19235 (or 19219 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 10.

Adding to 20202022000 its reverse (22020202), we get a palindrome (20224042202).

It can be divided in two parts, 2020202 and 2000, that added together give a palindrome (2022202).

The spelling of 20202022000 in words is "twenty billion, two hundred two million, twenty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 541 1000 1082 2000 2164 2705 4328 5410 8656 10820 13525 18671 21640 27050 37342 43280 54100 67625 74684 93355 108200 135250 149368 186710 216400 270500 298736 373420 466775 541000 746840 933550 1082000 1493680 1867100 2333875 3734200 4667750 7468400 9335500 10101011 18671000 20202022 37342000 40404044 50505055 80808088 101010110 161616176 202020220 252525275 404040440 505050550 808080880 1010101100 1262626375 2020202200 2525252750 4040404400 5050505500 10101011000 20202022000