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2028225679200 = 2534527391253
BaseRepresentation
bin11101100000111011101…
…010111100111101100000
321011220012112102220210000
4131200323222330331200
5231212301233213300
64151430511140000
7266351215551000
oct35407352747540
97156175386700
102028225679200
1171219057a396
12289100814600
1311935115a7b6
14702493c8000
1537b5ae71c00
hex1d83babcf60

2028225679200 has 720 divisors, whose sum is σ = 8625802600800. Its totient is φ = 463589360640.

The previous prime is 2028225679189. The next prime is 2028225679219. The reversal of 2028225679200 is 29765228202.

2028225679200 is a `hidden beast` number, since 2 + 0 + 2 + 82 + 2 + 567 + 9 + 2 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×20282256792002 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 119 ways as a sum of consecutive naturals, for example, 22180774 + ... + 22272026.

It is an arithmetic number, because the mean of its divisors is an integer number (11980281390).

Almost surely, 22028225679200 is an apocalyptic number.

2028225679200 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 2028225679200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4312901300400).

2028225679200 is an abundant number, since it is smaller than the sum of its proper divisors (6597576921600).

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

2028225679200 is an equidigital number, since it uses as much as digits as its factorization.

2028225679200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91306 (or 91270 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 2028225679200 in words is "two trillion, twenty-eight billion, two hundred twenty-five million, six hundred seventy-nine thousand, two hundred".