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2102284800 = 29335271179
BaseRepresentation
bin111110101001110…
…0101001000000000
312102111211010121000
41331103211020000
513301141103200
6544335132000
7103045061130
oct17523451000
95374733530
102102284800
11989759760
124a8074000
1327670ab05
1415d2c2ac0
15c4869300
hex7d4e5200

2102284800 has 960 divisors, whose sum is σ = 9742233600. Its totient is φ = 431308800.

The previous prime is 2102284781. The next prime is 2102284813. The reversal of 2102284800 is 84822012.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×21022848002 = 8839202760622080000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 26611161 + ... + 26611239.

It is an arithmetic number, because the mean of its divisors is an integer number (10148160).

Almost surely, 22102284800 is an apocalyptic number.

2102284800 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 2102284800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4871116800).

2102284800 is an abundant number, since it is smaller than the sum of its proper divisors (7639948800).

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

2102284800 is a wasteful number, since it uses less digits than its factorization.

2102284800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 2102284800 is about 45850.6793842796. The cubic root of 2102284800 is about 1281.0434200355.

The spelling of 2102284800 in words is "two billion, one hundred two million, two hundred eighty-four thousand, eight hundred".