Base | Representation |
---|---|
bin | 110010010011001110010000… |
… | …010010101000110101000000 |
3 | 1002000021202000020100101010110 |
4 | 302103032100102220311000 |
5 | 212444010310114220000 |
6 | 2102300325344231320 |
7 | 64411566431110140 |
oct | 6223162022506500 |
9 | 1060252006311113 |
10 | 221223301320000 |
11 | 64541303352031 |
12 | 2098a68400b540 |
13 | 965936348a315 |
14 | 3c8b39ccd2920 |
15 | 1a897d45e0850 |
hex | c933904a8d40 |
221223301320000 has 560 divisors, whose sum is σ = 850071883921920. Its totient is φ = 49708275456000.
The previous prime is 221223301319929. The next prime is 221223301320001. The reversal of 221223301320000 is 23103322122.
It is a happy number.
It is a tau number, because it is divible by the number of its divisors (560).
It is a Harshad number since it is a multiple of its sum of digits (21).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (221223301320001) by changing a digit.
It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 47328127 + ... + 51791873.
Almost surely, 2221223301320000 is an apocalyptic number.
221223301320000 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 221223301320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (425035941960960).
221223301320000 is an abundant number, since it is smaller than the sum of its proper divisors (628848582601920).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
221223301320000 is an equidigital number, since it uses as much as digits as its factorization.
221223301320000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 4463848 (or 4463823 counting only the distinct ones).
The product of its (nonzero) digits is 864, while the sum is 21.
Adding to 221223301320000 its reverse (23103322122), we get a palindrome (221246404642122).
The spelling of 221223301320000 in words is "two hundred twenty-one trillion, two hundred twenty-three billion, three hundred one million, three hundred twenty thousand".
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