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8233021696 = 285321072
BaseRepresentation
bin1111010101011100…
…11111000100000000
3210020202212211120111
413222232133010000
5113330123143241
63440542121104
7411010346464
oct75256370400
923222784514
108233021696
113545365069
121719280194
13a128bc893
145816044a4
15332bc8c81
hex1eab9f100

8233021696 has 81 divisors (see below), whose sum is σ = 16907810101. Its totient is φ = 4001094656.

The previous prime is 8233021679. The next prime is 8233021721. The reversal of 8233021696 is 6961203328.

The square root of 8233021696 is 90736.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 5935161600 + 2297860096 = 77040^2 + 47936^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 76944075 + ... + 76944181.

Almost surely, 28233021696 is an apocalyptic number.

8233021696 is the 90736-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8233021696

8233021696 is an abundant number, since it is smaller than the sum of its proper divisors (8674788405).

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

8233021696 is an frugal number, since it uses more digits than its factorization.

8233021696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 40.

The cubic root of 8233021696 is about 2019.2329290233.

The spelling of 8233021696 in words is "eight billion, two hundred thirty-three million, twenty-one thousand, six hundred ninety-six".

Divisors: 1 2 4 8 16 32 53 64 106 107 128 212 214 256 424 428 848 856 1696 1712 2809 3392 3424 5618 5671 6784 6848 11236 11342 11449 13568 13696 22472 22684 22898 27392 44944 45368 45796 89888 90736 91592 179776 181472 183184 300563 359552 362944 366368 601126 606797 719104 725888 732736 1202252 1213594 1451776 1465472 2404504 2427188 2930944 4809008 4854376 9618016 9708752 19236032 19417504 32160241 38472064 38835008 64320482 76944128 77670016 128640964 155340032 257281928 514563856 1029127712 2058255424 4116510848 8233021696