Base | Representation |
---|---|
bin | 101100010010… |
… | …1011111011000 |
3 | 1121200210220200 |
4 | 1120211133120 |
5 | 21421102412 |
6 | 2145422200 |
7 | 401246205 |
oct | 130453730 |
9 | 47623820 |
10 | 23222232 |
11 | 12121230 |
12 | 793a960 |
13 | 4a70c87 |
14 | 3126cac |
15 | 208a9dc |
hex | 16257d8 |
23222232 has 96 divisors (see below), whose sum is σ = 69498000. Its totient is φ = 6946560.
The previous prime is 23222231. The next prime is 23222233.
23222232 is nontrivially palindromic in base 10.
It is an interprime number because it is at equal distance from previous prime (23222231) and next prime (23222233).
It is a Harshad number since it is a multiple of its sum of digits (18).
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 (23222231) 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 23 ways as a sum of consecutive naturals, for example, 86194 + ... + 86462.
Almost surely, 223222232 is an apocalyptic number.
23222232 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 23222232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34749000).
23222232 is an abundant number, since it is smaller than the sum of its proper divisors (46275768).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23222232 is a wasteful number, since it uses less digits than its factorization.
23222232 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 401 (or 394 counting only the distinct ones).
The product of its digits is 576, while the sum is 18.
The square root of 23222232 is about 4818.9451127814. The cubic root of 23222232 is about 285.2997031918.
It can be divided in two parts, 2322 and 2232, that added together give a palindrome (4554).
The spelling of 23222232 in words is "twenty-three million, two hundred twenty-two thousand, two hundred thirty-two".
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