Base | Representation |
---|---|
bin | 1000010010000011… |
… | …1000101101111000 |
3 | 12201221100221111020 |
4 | 2010200320231320 |
5 | 14023120312212 |
6 | 1004335102440 |
7 | 106044000546 |
oct | 20440705570 |
9 | 5657327436 |
10 | 2223213432 |
11 | a40a45180 |
12 | 520671a20 |
13 | 29579b60b |
14 | 1713a0d96 |
15 | d02a4d8c |
hex | 84838b78 |
2223213432 has 128 divisors (see below), whose sum is σ = 6176459520. Its totient is φ = 661248000.
The previous prime is 2223213431. The next prime is 2223213439. The reversal of 2223213432 is 2343123222.
It is a Harshad number since it is a multiple of its sum of digits (24).
It is a nude number because it is divisible by every one of its digits.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2223213431) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5280582 + ... + 5281002.
It is an arithmetic number, because the mean of its divisors is an integer number (48253590).
Almost surely, 22223213432 is an apocalyptic number.
2223213432 is a gapful number since it is divisible by the number (22) 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 2223213432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3088229760).
2223213432 is an abundant number, since it is smaller than the sum of its proper divisors (3953246088).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2223213432 is a wasteful number, since it uses less digits than its factorization.
2223213432 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 765 (or 761 counting only the distinct ones).
The product of its digits is 3456, while the sum is 24.
The square root of 2223213432 is about 47150.9642743391. The cubic root of 2223213432 is about 1305.1498743034.
Adding to 2223213432 its reverse (2343123222), we get a palindrome (4566336654).
The spelling of 2223213432 in words is "two billion, two hundred twenty-three million, two hundred thirteen thousand, four hundred thirty-two".
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