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2022020000 = 255471113101
BaseRepresentation
bin111100010000101…
…1001001110100000
312012220210020222122
41320201121032200
513120114120000
6532350523412
7101051613020
oct17041311640
95186706878
102022020000
11948417610
12485206568
13262bb7050
1415278ba80
15bc7b2085
hex788593a0

2022020000 has 480 divisors, whose sum is σ = 6745140864. Its totient is φ = 576000000.

The previous prime is 2022019991. The next prime is 2022020027. The reversal of 2022020000 is 202202.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 2022020000.

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 20019950 + ... + 20020050.

Almost surely, 22022020000 is an apocalyptic number.

2022020000 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 2022020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3372570432).

2022020000 is an abundant number, since it is smaller than the sum of its proper divisors (4723120864).

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

2022020000 is a wasteful number, since it uses less digits than its factorization.

2022020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 8.

The square root of 2022020000 is about 44966.8766982987. The cubic root of 2022020000 is about 1264.5280934399.

Adding to 2022020000 its reverse (202202), we get a palindrome (2022222202).

Multiplying 2022020000 by its reverse (202202), we get a square (408856488040000 = 202202002).

2022020000 divided by its reverse (202202) gives a 4-th power (10000 = 104).

It can be divided in two parts, 202 and 2020000, that multiplied together give a square (408040000 = 202002).

The spelling of 2022020000 in words is "two billion, twenty-two million, twenty thousand".