Base | Representation |
---|---|
bin | 110010011100… |
… | …010111101000 |
3 | 220212211002120 |
4 | 302130113220 |
5 | 11341122100 |
6 | 1151231240 |
7 | 220253121 |
oct | 62342750 |
9 | 26784076 |
10 | 13223400 |
11 | 7511a33 |
12 | 4518520 |
13 | 297cac8 |
14 | 1a83048 |
15 | 12630a0 |
hex | c9c5e8 |
13223400 has 48 divisors (see below), whose sum is σ = 40994400. Its totient is φ = 3526080.
The previous prime is 13223389. The next prime is 13223401. The reversal of 13223400 is 432231.
13223400 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.
It is a super-5 number, since 5×132234005 (a number of 37 digits) contains 55555 as substring.
It is a Harshad number since it is a multiple of its sum of digits (15).
It is a self number, because there is not a number n which added to its sum of digits gives 13223400.
It is not an unprimeable number, because it can be changed into a prime (13223401) by changing a digit.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10420 + ... + 11619.
It is an arithmetic number, because the mean of its divisors is an integer number (854050).
Almost surely, 213223400 is an apocalyptic number.
13223400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
It is an amenable number.
13223400 is an abundant number, since it is smaller than the sum of its proper divisors (27771000).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
13223400 is a wasteful number, since it uses less digits than its factorization.
13223400 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 22058 (or 22049 counting only the distinct ones).
The product of its (nonzero) digits is 144, while the sum is 15.
The square root of 13223400 is about 3636.3993180068. The cubic root of 13223400 is about 236.4727190603.
Adding to 13223400 its reverse (432231), we get a palindrome (13655631).
It can be divided in two parts, 132 and 23400, that added together give a palindrome (23532).
The spelling of 13223400 in words is "thirteen million, two hundred twenty-three thousand, four hundred".
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