Base | Representation |
---|---|
bin | 1000010100000100… |
… | …0101100000100000 |
3 | 12202112020210100212 |
4 | 2011001011200200 |
5 | 14032300420212 |
6 | 1005240033252 |
7 | 106205515100 |
oct | 20501054040 |
9 | 5675223325 |
10 | 2231654432 |
11 | a45790007 |
12 | 523462828 |
13 | 2974656a7 |
14 | 17255b200 |
15 | d0dc0e22 |
hex | 85045820 |
2231654432 has 54 divisors (see below), whose sum is σ = 5115174813. Its totient is φ = 955621632.
The previous prime is 2231654431. The next prime is 2231654461. The reversal of 2231654432 is 2344561322.
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 2231239696 + 414736 = 47236^2 + 644^2 .
It is an ABA number since it can be written as A⋅BA, here for A=2, B=33404.
It is a super-3 number, since 3×22316544323 (a number of 29 digits) contains 333 as substring.
It is a Harshad number since it is a multiple of its sum of digits (32).
It is not an unprimeable number, because it can be changed into a prime (2231654431) 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, 1870028 + ... + 1871220.
Almost surely, 22231654432 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 2231654432
2231654432 is an abundant number, since it is smaller than the sum of its proper divisors (2883520381).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2231654432 is an frugal number, since it uses more digits than its factorization.
2231654432 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 2410 (or 1202 counting only the distinct ones).
The product of its digits is 34560, while the sum is 32.
The square root of 2231654432 is about 47240.3898375109. The cubic root of 2231654432 is about 1306.7995669812.
Multiplying 2231654432 by its sum of digits (32), we get a square (71412941824 = 2672322).
2231654432 divided by its sum of digits (32) gives a square (69739201 = 83512).
The spelling of 2231654432 in words is "two billion, two hundred thirty-one million, six hundred fifty-four thousand, four hundred thirty-two".
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