Base | Representation |
---|---|
bin | 1000010100000011… |
… | …1111011000100000 |
3 | 12202112012111221200 |
4 | 2011000333120200 |
5 | 14032244114334 |
6 | 1005235321200 |
7 | 106205352000 |
oct | 20500773040 |
9 | 5675174850 |
10 | 2231629344 |
11 | a4577317a |
12 | 523450200 |
13 | 297457149 |
14 | 172552000 |
15 | d0db8799 |
hex | 8503f620 |
2231629344 has 576 divisors, whose sum is σ = 8255520000. Its totient is φ = 568995840.
The previous prime is 2231629339. The next prime is 2231629369. The reversal of 2231629344 is 4439261322.
2231629344 is a `hidden beast` number, since 2 + 23 + 1 + 629 + 3 + 4 + 4 = 666.
It is a super-3 number, since 3×22316293443 (a number of 29 digits) contains 333 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a nude number because it is divisible by every one of its digits.
It is a junction number, because it is equal to n+sod(n) for n = 2231629299 and 2231629308.
It is an unprimeable number.
It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 54429964 + ... + 54430004.
It is an arithmetic number, because the mean of its divisors is an integer number (14332500).
It is a vampire number, since it can be written as 23142 ⋅ 96432 (with its own digits).
Almost surely, 22231629344 is an apocalyptic number.
2231629344 is a gapful number since it is divisible by the number (24) 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 2231629344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4127760000).
2231629344 is an abundant number, since it is smaller than the sum of its proper divisors (6023890656).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2231629344 is a wasteful number, since it uses less digits than its factorization.
2231629344 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 126 (or 101 counting only the distinct ones).
The product of its digits is 62208, while the sum is 36.
The square root of 2231629344 is about 47240.1243012759. The cubic root of 2231629344 is about 1306.7946699998.
The spelling of 2231629344 in words is "two billion, two hundred thirty-one million, six hundred twenty-nine thousand, three hundred forty-four".
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