Base | Representation |
---|---|
bin | 11010101000101… |
… | …11010010110100 |
3 | 120120110000221100 |
4 | 31110113102310 |
5 | 424200121400 |
6 | 34101050100 |
7 | 5352140460 |
oct | 1524272264 |
9 | 516400840 |
10 | 223442100 |
11 | 1051443a2 |
12 | 629b6930 |
13 | 373a437b |
14 | 219654a0 |
15 | 1493a100 |
hex | d5174b4 |
223442100 has 216 divisors, whose sum is σ = 828696960. Its totient is φ = 49271040.
The previous prime is 223442081. The next prime is 223442111. The reversal of 223442100 is 1244322.
223442100 is a `hidden beast` number, since 223 + 442 + 1 + 0 + 0 = 666.
223442100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 182089 + ... + 183311.
It is an arithmetic number, because the mean of its divisors is an integer number (3836560).
Almost surely, 2223442100 is an apocalyptic number.
223442100 is a gapful number since it is divisible by the number (20) 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 223442100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (414348480).
223442100 is an abundant number, since it is smaller than the sum of its proper divisors (605254860).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
223442100 is a wasteful number, since it uses less digits than its factorization.
223442100 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1279 (or 1269 counting only the distinct ones).
The product of its (nonzero) digits is 384, while the sum is 18.
The square root of 223442100 is about 14947.9797966147. The cubic root of 223442100 is about 606.8131749098.
Adding to 223442100 its reverse (1244322), we get a palindrome (224686422).
The spelling of 223442100 in words is "two hundred twenty-three million, four hundred forty-two thousand, one hundred".
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