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2285725680 = 2432571273571
BaseRepresentation
bin1000100000111101…
…0110011111110000
312220021222220011200
42020033112133300
514140121210210
61014451011200
7110433230160
oct21017263760
95807886150
102285725680
11a73261597
12539599b00
132a5717c04
141797d45a0
15d5a020c0
hex883d67f0

2285725680 has 240 divisors, whose sum is σ = 8844386304. Its totient is φ = 518192640.

The previous prime is 2285725661. The next prime is 2285725711. The reversal of 2285725680 is 865275822.

2285725680 is a `hidden beast` number, since 2 + 2 + 85 + 7 + 2 + 568 + 0 = 666.

2285725680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×22857256802 = 10449083768422924800, which 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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 638295 + ... + 641865.

Almost surely, 22285725680 is an apocalyptic number.

2285725680 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 2285725680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4422193152).

2285725680 is an abundant number, since it is smaller than the sum of its proper divisors (6558660624).

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

2285725680 is a wasteful number, since it uses less digits than its factorization.

2285725680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3724 (or 3715 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The square root of 2285725680 is about 47809.2635375196. The cubic root of 2285725680 is about 1317.2697008726.

The spelling of 2285725680 in words is "two billion, two hundred eighty-five million, seven hundred twenty-five thousand, six hundred eighty".