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2453222325120 = 2735719292571289
BaseRepresentation
bin100011101100101111011…
…100011111101110000000
322200112012021121110122120
4203230233130133232000
5310143144403400440
65114554512204240
7342145064463510
oct43545734375600
98615167543576
102453222325120
11866451057846
1233754b239680
1314a4513c9788
1486a452dd840
1543c320c8dd0
hex23b2f71fb80

2453222325120 has 1024 divisors, whose sum is σ = 9776920320000. Its totient is φ = 510513905664.

The previous prime is 2453222325109. The next prime is 2453222325133. The reversal of 2453222325120 is 215232223542.

It is a happy number.

It is a super-3 number, since 3×24532223251203 (a number of 38 digits) contains 333 as substring.

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 127 ways as a sum of consecutive naturals, for example, 1903197436 + ... + 1903198724.

It is an arithmetic number, because the mean of its divisors is an integer number (9547773750).

Almost surely, 22453222325120 is an apocalyptic number.

2453222325120 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 2453222325120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4888460160000).

2453222325120 is an abundant number, since it is smaller than the sum of its proper divisors (7323697994880).

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

2453222325120 is a wasteful number, since it uses less digits than its factorization.

2453222325120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1623 (or 1611 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 33.

Adding to 2453222325120 its reverse (215232223542), we get a palindrome (2668454548662).

The spelling of 2453222325120 in words is "two trillion, four hundred fifty-three billion, two hundred twenty-two million, three hundred twenty-five thousand, one hundred twenty".