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2204081280 = 27345174161
BaseRepresentation
bin1000001101011111…
…1001110010000000
312200121100221010000
42003113321302000
514003221100110
61002413040000
7105422244642
oct20327716200
95617327100
102204081280
11a31167985
12516186000
1329183020b
1416ca20892
15cd7761c0
hex835f9c80

2204081280 has 640 divisors, whose sum is σ = 8677413360. Its totient is φ = 530841600.

The previous prime is 2204081227. The next prime is 2204081293. The reversal of 2204081280 is 821804022.

It can be written as a sum of positive squares in 8 ways, for example, as 166100544 + 2037980736 = 12888^2 + 45144^2 .

It is a tau number, because it is divible by the number of its divisors (640).

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 polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 36132450 + ... + 36132510.

Almost surely, 22204081280 is an apocalyptic number.

2204081280 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 2204081280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4338706680).

2204081280 is an abundant number, since it is smaller than the sum of its proper divisors (6473332080).

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

2204081280 is a wasteful number, since it uses less digits than its factorization.

2204081280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 129 counting only the distinct ones).

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

The square root of 2204081280 is about 46947.6440303451. The cubic root of 2204081280 is about 1301.3952042532.

The spelling of 2204081280 in words is "two billion, two hundred four million, eighty-one thousand, two hundred eighty".