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2809200968 = 237226772
BaseRepresentation
bin1010011101110001…
…0000000101001000
321020210000012021022
42213130100011020
521223123412333
61142430532012
7126420546200
oct24734200510
97223005238
102809200968
1112117a22a2
12664967008
13359ccc1c2
141c913b400
15116955c98
hexa7710148

2809200968 has 36 divisors (see below), whose sum is σ = 6129500985. Its totient is φ = 1203493536.

The previous prime is 2809200967. The next prime is 2809200983. The reversal of 2809200968 is 8690029082.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 1784048644 + 1025152324 = 42238^2 + 32018^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=37478.

It is a super-2 number, since 2×28092009682 = 15783220157224274048, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2809200967) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1048046 + ... + 1050722.

Almost surely, 22809200968 is an apocalyptic number.

2809200968 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

2809200968 is an abundant number, since it is smaller than the sum of its proper divisors (3320300017).

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

2809200968 is an frugal number, since it uses more digits than its factorization.

2809200968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5374 (or 2686 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 44.

The square root of 2809200968 is about 53001.8958906189. The cubic root of 2809200968 is about 1411.0019148566.

The spelling of 2809200968 in words is "two billion, eight hundred nine million, two hundred thousand, nine hundred sixty-eight".

Divisors: 1 2 4 7 8 14 28 49 56 98 196 392 2677 5354 10708 18739 21416 37478 74956 131173 149912 262346 524692 1049384 7166329 14332658 28665316 50164303 57330632 100328606 200657212 351150121 401314424 702300242 1404600484 2809200968