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2022121000 = 235310120021
BaseRepresentation
bin111100010000111…
…0001111000101000
312012220222101112101
41320201301320220
513120130333000
6532353023144
7101052513334
oct17041617050
95186871471
102022121000
11948486489
12485254ab4
13262c21003
141527b67c4
15bc7d1e6a
hex78871e28

2022121000 has 64 divisors (see below), whose sum is σ = 4778850960. Its totient is φ = 800800000.

The previous prime is 2022120977. The next prime is 2022121001. The reversal of 2022121000 is 1212202.

It can be written as a sum of positive squares in 8 ways, for example, as 68657796 + 1953463204 = 8286^2 + 44198^2 .

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

It is not an unprimeable number, because it can be changed into a prime (2022121001) 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, 90990 + ... + 111010.

Almost surely, 22022121000 is an apocalyptic number.

2022121000 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 2022121000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2389425480).

2022121000 is an abundant number, since it is smaller than the sum of its proper divisors (2756729960).

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

2022121000 is a wasteful number, since it uses less digits than its factorization.

2022121000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20143 (or 20129 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 2022121000 is about 44967.9997331436. Note that the first 3 decimals coincide. The cubic root of 2022121000 is about 1264.5491475031.

Adding to 2022121000 its reverse (1212202), we get a palindrome (2023333202).

The spelling of 2022121000 in words is "two billion, twenty-two million, one hundred twenty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 101 125 200 202 250 404 500 505 808 1000 1010 2020 2525 4040 5050 10100 12625 20021 20200 25250 40042 50500 80084 100105 101000 160168 200210 400420 500525 800840 1001050 2002100 2022121 2502625 4004200 4044242 5005250 8088484 10010500 10110605 16176968 20021000 20221210 40442420 50553025 80884840 101106050 202212100 252765125 404424200 505530250 1011060500 2022121000