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2022330000 = 2435467411
BaseRepresentation
bin111100010001010…
…0100111010010000
312012221101000020010
41320202210322100
513120204030000
6532401314520
7101054343555
oct17042447220
95187330203
102022330000
11948609509
12485335a40
13262c95192
1415282ca2c
15bc823d50
hex788a4e90

2022330000 has 100 divisors (see below), whose sum is σ = 6528447728. Its totient is φ = 539280000.

The previous prime is 2022329987. The next prime is 2022330029. The reversal of 2022330000 is 332202.

2022330000 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (12).

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 19 ways as a sum of consecutive naturals, for example, 3706 + ... + 63705.

Almost surely, 22022330000 is an apocalyptic number.

2022330000 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 2022330000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3264223864).

2022330000 is an abundant number, since it is smaller than the sum of its proper divisors (4506117728).

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

2022330000 is an equidigital number, since it uses as much as digits as its factorization.

2022330000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67442 (or 67421 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 12.

The square root of 2022330000 is about 44970.3235478688. The cubic root of 2022330000 is about 1264.5927125959.

Adding to 2022330000 its reverse (332202), we get a palindrome (2022662202).

The spelling of 2022330000 in words is "two billion, twenty-two million, three hundred thirty thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 625 750 1000 1200 1250 1500 1875 2000 2500 3000 3750 5000 6000 7500 10000 15000 30000 67411 134822 202233 269644 337055 404466 539288 674110 808932 1011165 1078576 1348220 1617864 1685275 2022330 2696440 3235728 3370550 4044660 5055825 5392880 6741100 8089320 8426375 10111650 13482200 16178640 16852750 20223300 25279125 26964400 33705500 40446600 42131875 50558250 67411000 80893200 84263750 101116500 126395625 134822000 168527500 202233000 252791250 337055000 404466000 505582500 674110000 1011165000 2022330000