Search a number
-
+
2022020 = 22571113101
BaseRepresentation
bin111101101101010000100
310210201200122
413231222010
51004201040
6111201112
723121050
oct7555204
93721618
102022020
1111611a0
12816198
1355a480
143a8c60
1529e1b5
hex1eda84

2022020 has 96 divisors (see below), whose sum is σ = 5757696. Its totient is φ = 576000.

The previous prime is 2022019. The next prime is 2022029. The reversal of 2022020 is 202202.

It is a junction number, because it is equal to n+sod(n) for n = 2021989 and 2022007.

It is not an unprimeable number, because it can be changed into a prime (2022029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19970 + ... + 20070.

It is an arithmetic number, because the mean of its divisors is an integer number (59976).

22022020 is an apocalyptic number.

2022020 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 2022020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2878848).

2022020 is an abundant number, since it is smaller than the sum of its proper divisors (3735676).

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

2022020 is a wasteful number, since it uses less digits than its factorization.

2022020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 139 counting only the distinct ones).

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

The square root of 2022020 is about 1421.9774963058. The cubic root of 2022020 is about 126.4528093440.

Adding to 2022020 its reverse (202202), we get a palindrome (2224222).

It can be divided in two parts, 202 and 2020, that added together give a palindrome (2222).

The spelling of 2022020 in words is "two million, twenty-two thousand, twenty".

Divisors: 1 2 4 5 7 10 11 13 14 20 22 26 28 35 44 52 55 65 70 77 91 101 110 130 140 143 154 182 202 220 260 286 308 364 385 404 455 505 572 707 715 770 910 1001 1010 1111 1313 1414 1430 1540 1820 2002 2020 2222 2626 2828 2860 3535 4004 4444 5005 5252 5555 6565 7070 7777 9191 10010 11110 13130 14140 14443 15554 18382 20020 22220 26260 28886 31108 36764 38885 45955 57772 72215 77770 91910 101101 144430 155540 183820 202202 288860 404404 505505 1011010 2022020