Search a number
-
+
2022347270040 = 2335172947727327
BaseRepresentation
bin11101011011011101010…
…010100110011110011000
321011100000212011210101020
4131123131102212132120
5231113231400120130
64145015320322440
7266052436110606
oct35333522463630
97140025153336
102022347270040
1170a7443475a9
12287b40013420
13118925324a96
146dc4c7ca876
1537914d55e10
hex1d6dd4a6798

2022347270040 has 256 divisors, whose sum is σ = 6786843033600. Its totient is φ = 479639494656.

The previous prime is 2022347269931. The next prime is 2022347270059. The reversal of 2022347270040 is 400727432202.

It is a junction number, because it is equal to n+sod(n) for n = 2022347269983 and 2022347270010.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2416857 + ... + 3144183.

It is an arithmetic number, because the mean of its divisors is an integer number (26511105600).

Almost surely, 22022347270040 is an apocalyptic number.

2022347270040 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 2022347270040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3393421516800).

2022347270040 is an abundant number, since it is smaller than the sum of its proper divisors (4764495763560).

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

2022347270040 is a wasteful number, since it uses less digits than its factorization.

2022347270040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 727434 (or 727430 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 33.

The spelling of 2022347270040 in words is "two trillion, twenty-two billion, three hundred forty-seven million, two hundred seventy thousand, forty".