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2204035680 = 253573111217
BaseRepresentation
bin1000001101011110…
…1110101001100000
312200121021121120010
42003113232221200
514003213120210
61002412044520
7105421665000
oct20327565140
95617247503
102204035680
11a311366a0
12516163740
13291815532
1416ca0c000
15cd767920
hex835eea60

2204035680 has 384 divisors, whose sum is σ = 8839756800. Its totient is φ = 457605120.

The previous prime is 2204035679. The next prime is 2204035693. The reversal of 2204035680 is 865304022.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1810432 + ... + 1811648.

It is an arithmetic number, because the mean of its divisors is an integer number (23020200).

Almost surely, 22204035680 is an apocalyptic number.

2204035680 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 2204035680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4419878400).

2204035680 is an abundant number, since it is smaller than the sum of its proper divisors (6635721120).

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

2204035680 is a wasteful number, since it uses less digits than its factorization.

2204035680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1267 (or 1245 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 2204035680 is about 46947.1583804600. The cubic root of 2204035680 is about 1301.3862293830.

The spelling of 2204035680 in words is "two billion, two hundred four million, thirty-five thousand, six hundred eighty".