Base | Representation |
---|---|
bin | 110100110100000101000001… |
… | …010001001101011111000000 |
3 | 1010110102111002221002011211100 |
4 | 310310011001101031133000 |
5 | 220421112222132200241 |
6 | 2142002403221414400 |
7 | 66632322036160053 |
oct | 6464050121153700 |
9 | 1113374087064740 |
10 | 232277221365696 |
11 | 68013242008381 |
12 | 22074a6b56a400 |
13 | 9c7b85682a150 |
14 | 41503c5658a9a |
15 | 1bcc0e486e9b6 |
hex | d3414144d7c0 |
232277221365696 has 1344 divisors, whose sum is σ = 812474067525120. Its totient is φ = 62664576860160.
The previous prime is 232277221365661. The next prime is 232277221365737. The reversal of 232277221365696 is 696563122772232.
232277221365696 is a `hidden beast` number, since 2 + 3 + 2 + 277 + 2 + 213 + 65 + 6 + 96 = 666.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 142764118035 + ... + 142764119661.
It is an arithmetic number, because the mean of its divisors is an integer number (604519395480).
Almost surely, 2232277221365696 is an apocalyptic number.
232277221365696 is a gapful number since it is divisible by the number (26) 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 232277221365696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (406237033762560).
232277221365696 is an abundant number, since it is smaller than the sum of its proper divisors (580196846159424).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
232277221365696 is a wasteful number, since it uses less digits than its factorization.
232277221365696 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2642 (or 2629 counting only the distinct ones).
The product of its digits is 137168640, while the sum is 63.
The spelling of 232277221365696 in words is "two hundred thirty-two trillion, two hundred seventy-seven billion, two hundred twenty-one million, three hundred sixty-five thousand, six hundred ninety-six".
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