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20221202000 = 245397104233
BaseRepresentation
bin10010110101010001…
…110000111001010000
31221012020202111100102
4102311101300321100
5312403111431000
613142310311532
71314046244456
oct226521607120
957166674312
1020221202000
11863738339a
123b040585a8
131ba34764ac
14d9b8269d6
157d53b23d5
hex4b5470e50

20221202000 has 80 divisors (see below), whose sum is σ = 49399411152. Its totient is φ = 8005017600.

The previous prime is 20221201969. The next prime is 20221202003. The reversal of 20221202000 is 20212202.

It can be written as a sum of positive squares in 8 ways, for example, as 4620192784 + 15601009216 = 67972^2 + 124904^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20221202003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 141884 + ... + 246116.

Almost surely, 220221202000 is an apocalyptic number.

20221202000 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 20221202000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24699705576).

20221202000 is an abundant number, since it is smaller than the sum of its proper divisors (29178209152).

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

20221202000 is a wasteful number, since it uses less digits than its factorization.

20221202000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104353 (or 104337 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

Adding to 20221202000 its reverse (20212202), we get a palindrome (20241414202).

The spelling of 20221202000 in words is "twenty billion, two hundred twenty-one million, two hundred two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 97 100 125 194 200 250 388 400 485 500 776 970 1000 1552 1940 2000 2425 3880 4850 7760 9700 12125 19400 24250 38800 48500 97000 104233 194000 208466 416932 521165 833864 1042330 1667728 2084660 2605825 4169320 5211650 8338640 10110601 10423300 13029125 20221202 20846600 26058250 40442404 41693200 50553005 52116500 80884808 101106010 104233000 161769616 202212020 208466000 252765025 404424040 505530050 808848080 1011060100 1263825125 2022120200 2527650250 4044240400 5055300500 10110601000 20221202000