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2252105440000 = 2854131082743
BaseRepresentation
bin100000110001011011111…
…100011101101100000000
321222022002002201010210121
4200301123330131230000
5243344302443040000
64442334123310024
7321465162246613
oct40613374355400
97868062633717
102252105440000
11799126899299
1230458167b314
131344ac897240
147b006b6617a
153d8b0a85b1a
hex20c5bf1db00

2252105440000 has 180 divisors, whose sum is σ = 6049587399856. Its totient is φ = 831545856000.

The previous prime is 2252105439973. The next prime is 2252105440001. The reversal of 2252105440000 is 445012522.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (2252105440001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1538629 + ... + 2621371.

Almost surely, 22252105440000 is an apocalyptic number.

2252105440000 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 2252105440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3024793699928).

2252105440000 is an abundant number, since it is smaller than the sum of its proper divisors (3797481959856).

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

2252105440000 is an equidigital number, since it uses as much as digits as its factorization.

2252105440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1082792 (or 1082763 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 25.

The spelling of 2252105440000 in words is "two trillion, two hundred fifty-two billion, one hundred five million, four hundred forty thousand".