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2325145443200 = 27525979155891
BaseRepresentation
bin100001110101011101011…
…101111101101110000000
322020021121101100202002022
4201311131131331232000
5301043344213140300
64540053532141012
7326662162112426
oct41653535755600
98207541322068
102325145443200
118170a7a937a8
12316766607768
1313b34ca91248
14807753d9116
1540737edd285
hex21d5d77db80

2325145443200 has 192 divisors, whose sum is σ = 5915166048000. Its totient is φ = 902715340800.

The previous prime is 2325145443169. The next prime is 2325145443251. The reversal of 2325145443200 is 23445415232.

It is a happy number.

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 23 ways as a sum of consecutive naturals, for example, 14837255 + ... + 14993145.

It is an arithmetic number, because the mean of its divisors is an integer number (30808156500).

Almost surely, 22325145443200 is an apocalyptic number.

2325145443200 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 2325145443200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2957583024000).

2325145443200 is an abundant number, since it is smaller than the sum of its proper divisors (3590020604800).

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

2325145443200 is a wasteful number, since it uses less digits than its factorization.

2325145443200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156053 (or 156036 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 35.

The spelling of 2325145443200 in words is "two trillion, three hundred twenty-five billion, one hundred forty-five million, four hundred forty-three thousand, two hundred".