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2022071040 = 2836511197
BaseRepresentation
bin111100010000110…
…0101101100000000
312012220212212000000
41320201211230000
513120122233130
6532352000000
7101052214563
oct17041455400
95186785000
102022071040
119484519a0
12485230000
13262c04352
141527a24da
15bc7c2260
hex78865b00

2022071040 has 504 divisors, whose sum is σ = 7962303888. Its totient is φ = 487710720.

The previous prime is 2022071033. The next prime is 2022071063. The reversal of 2022071040 is 401702202.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 10264222 + ... + 10264418.

It is an arithmetic number, because the mean of its divisors is an integer number (15798222).

Almost surely, 22022071040 is an apocalyptic number.

2022071040 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 2022071040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3981151944).

2022071040 is an abundant number, since it is smaller than the sum of its proper divisors (5940232848).

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

2022071040 is an equidigital number, since it uses as much as digits as its factorization.

2022071040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 2022071040 is about 44967.4442235713. Note that the first 3 decimals coincide. The cubic root of 2022071040 is about 1264.5387331254.

Adding to 2022071040 its reverse (401702202), we get a palindrome (2423773242).

The spelling of 2022071040 in words is "two billion, twenty-two million, seventy-one thousand, forty".