Base | Representation |
---|---|
bin | 1000010100001110… |
… | …1101001000000000 |
3 | 12202120112200011000 |
4 | 2011003231020000 |
5 | 14032434402432 |
6 | 1005302452000 |
7 | 106214404530 |
oct | 20503551000 |
9 | 5676480130 |
10 | 2232340992 |
11 | a46109912 |
12 | 523734000 |
13 | 29764603b |
14 | 1726994c0 |
15 | d0ea957c |
hex | 850ed200 |
2232340992 has 640 divisors, whose sum is σ = 8485171200. Its totient is φ = 564461568.
The previous prime is 2232340963. The next prime is 2232341003. The reversal of 2232340992 is 2990432322.
2232340992 is a `hidden beast` number, since 223 + 2 + 340 + 9 + 92 = 666.
It is a super-3 number, since 3×22323409923 (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 congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 37836259 + ... + 37836317.
It is an arithmetic number, because the mean of its divisors is an integer number (13258080).
Almost surely, 22232340992 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 2232340992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4242585600).
2232340992 is an abundant number, since it is smaller than the sum of its proper divisors (6252830208).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2232340992 is a wasteful number, since it uses less digits than its factorization.
2232340992 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 133 (or 111 counting only the distinct ones).
The product of its (nonzero) digits is 46656, while the sum is 36.
The square root of 2232340992 is about 47247.6559418560. The cubic root of 2232340992 is about 1306.9335638801.
The spelling of 2232340992 in words is "two billion, two hundred thirty-two million, three hundred forty thousand, nine hundred ninety-two".
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