Base | Representation |
---|---|
bin | 1100001011111… |
… | …11010110000000 |
3 | 21010100222221220 |
4 | 12011333112000 |
5 | 202132432342 |
6 | 14051115040 |
7 | 2350653525 |
oct | 605772600 |
9 | 233328856 |
10 | 102233472 |
11 | 52787580 |
12 | 2a2a2a80 |
13 | 182462a3 |
14 | d81314c |
15 | 8e965ec |
hex | 617f580 |
102233472 has 64 divisors (see below), whose sum is σ = 296256960. Its totient is φ = 30978560.
The previous prime is 102233447. The next prime is 102233477. The reversal of 102233472 is 274332201.
It is a tau number, because it is divible by the number of its divisors (64).
It is a Harshad number since it is a multiple of its sum of digits (24).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (102233477) 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 7 ways as a sum of consecutive naturals, for example, 7878 + ... + 16325.
It is an arithmetic number, because the mean of its divisors is an integer number (4629015).
Almost surely, 2102233472 is an apocalyptic number.
102233472 is a gapful number since it is divisible by the number (12) formed by its first and last digit.
It is an amenable number.
102233472 is an abundant number, since it is smaller than the sum of its proper divisors (194023488).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
102233472 is a wasteful number, since it uses less digits than its factorization.
102233472 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 24231 (or 24219 counting only the distinct ones).
The product of its (nonzero) digits is 2016, while the sum is 24.
The square root of 102233472 is about 10111.0569180477. The cubic root of 102233472 is about 467.5890907069.
Adding to 102233472 its reverse (274332201), we get a palindrome (376565673).
It can be divided in two parts, 10223 and 3472, that added together give a triangular number (13695 = T165).
The spelling of 102233472 in words is "one hundred two million, two hundred thirty-three thousand, four hundred seventy-two".
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