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2252222025040 = 245132165598101
BaseRepresentation
bin100000110001100010111…
…001001100110101010000
321222022101020002021102001
4200301202321030311100
5243400022314300130
64442353450203344
7321501106225651
oct40614271146520
97868336067361
102252222025040
11799186688369
123045b4723554
131344caa96980
147b018433528
153d8bae146ca
hex20c62e4cd50

2252222025040 has 40 divisors (see below), whose sum is σ = 5639217457608. Its totient is φ = 831589670400.

The previous prime is 2252222025037. The next prime is 2252222025047. The reversal of 2252222025040 is 405202222522.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 263546703424 + 1988675321616 = 513368^2 + 1410204^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2252222025047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1082798011 + ... + 1082800090.

Almost surely, 22252222025040 is an apocalyptic number.

2252222025040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2252222025040 is an abundant number, since it is smaller than the sum of its proper divisors (3386995432568).

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

2252222025040 is a wasteful number, since it uses less digits than its factorization.

2252222025040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2165598127 (or 2165598121 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 28.

Adding to 2252222025040 its reverse (405202222522), we get a palindrome (2657424247562).

The spelling of 2252222025040 in words is "two trillion, two hundred fifty-two billion, two hundred twenty-two million, twenty-five thousand, forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 1040 2165598101 4331196202 8662392404 10827990505 17324784808 21655981010 28152775313 34649569616 43311962020 56305550626 86623924040 112611101252 140763876565 173247848080 225222202504 281527753130 450444405008 563055506260 1126111012520 2252222025040