Base | Representation |
---|---|
bin | 11010010111110… |
… | …01100001011000 |
3 | 120102021021220110 |
4 | 31023321201120 |
5 | 423113114000 |
6 | 33541324320 |
7 | 5324236005 |
oct | 1513714130 |
9 | 512237813 |
10 | 221223000 |
11 | 103969129 |
12 | 621066a0 |
13 | 36aa82ab |
14 | 215488ac |
15 | 1464c850 |
hex | d2f9858 |
221223000 has 128 divisors (see below), whose sum is σ = 709225920. Its totient is φ = 57369600.
The previous prime is 221222987. The next prime is 221223001. The reversal of 221223000 is 322122.
221223000 is digitally balanced in base 2 and base 3, because in such bases 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 (12).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (221223001) by changing a digit.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 110004 + ... + 111996.
Almost surely, 2221223000 is an apocalyptic number.
221223000 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 221223000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354612960).
221223000 is an abundant number, since it is smaller than the sum of its proper divisors (488002920).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
221223000 is a wasteful number, since it uses less digits than its factorization.
221223000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 2054 (or 2040 counting only the distinct ones).
The product of its (nonzero) digits is 48, while the sum is 12.
The square root of 221223000 is about 14873.5671578811. The cubic root of 221223000 is about 604.7976465083.
Adding to 221223000 its reverse (322122), we get a palindrome (221545122).
The spelling of 221223000 in words is "two hundred twenty-one million, two hundred twenty-three thousand".
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