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2022004040 = 235725728099
BaseRepresentation
bin111100010000101…
…0101010101001000
312012220202110002112
41320201111111020
513120113112130
6532350321452
7101051515340
oct17041252510
95186673075
102022004040
11948406621
124851b9288
13262bac9c4
14152785d20
15bc7ac495
hex78855548

2022004040 has 64 divisors (see below), whose sum is σ = 5219856000. Its totient is φ = 690536448.

The previous prime is 2022004031. The next prime is 2022004051. The reversal of 2022004040 is 404002202.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (14).

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 15 ways as a sum of consecutive naturals, for example, 57911 + ... + 86009.

It is an arithmetic number, because the mean of its divisors is an integer number (81560250).

Almost surely, 22022004040 is an apocalyptic number.

2022004040 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 2022004040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2609928000).

2022004040 is an abundant number, since it is smaller than the sum of its proper divisors (3197851960).

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

2022004040 is a wasteful number, since it uses less digits than its factorization.

2022004040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28374 (or 28370 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 14.

The square root of 2022004040 is about 44966.6992339887. The cubic root of 2022004040 is about 1264.5247664168.

Adding to 2022004040 its reverse (404002202), we get a palindrome (2426006242).

The spelling of 2022004040 in words is "two billion, twenty-two million, four thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 257 280 514 1028 1285 1799 2056 2570 3598 5140 7196 8995 10280 14392 17990 28099 35980 56198 71960 112396 140495 196693 224792 280990 393386 561980 786772 983465 1123960 1573544 1966930 3933860 7221443 7867720 14442886 28885772 36107215 50550101 57771544 72214430 101100202 144428860 202200404 252750505 288857720 404400808 505501010 1011002020 2022004040