Base | Representation |
---|---|
bin | 1100111110110001110… |
… | …0000001001100100000 |
3 | 210022121221211212200100 |
4 | 3033230130001030200 |
5 | 12123211041200000 |
6 | 250241024222400 |
7 | 22053253400442 |
oct | 3175434011440 |
9 | 708557755610 |
10 | 223010100000 |
11 | 8663a429976 |
12 | 3727976aa00 |
13 | 1805050656c |
14 | ab1807c492 |
15 | 5c035cba00 |
hex | 33ec701320 |
223010100000 has 648 divisors, whose sum is σ = 819184311036. Its totient is φ = 57542400000.
The previous prime is 223010099989. The next prime is 223010100007. The reversal of 223010100000 is 1010322.
It is a happy number.
It can be written as a sum of positive squares in 18 ways, for example, as 162947854224 + 60062245776 = 403668^2 + 245076^2 .
It is a Harshad number since it is a multiple of its sum of digits (9).
It is not an unprimeable number, because it can be changed into a prime (223010100007) by changing a digit.
It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 1232099910 + ... + 1232100090.
Almost surely, 2223010100000 is an apocalyptic number.
223010100000 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 223010100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409592155518).
223010100000 is an abundant number, since it is smaller than the sum of its proper divisors (596174211036).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
223010100000 is an equidigital number, since it uses as much as digits as its factorization.
223010100000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 296 (or 228 counting only the distinct ones).
The product of its (nonzero) digits is 12, while the sum is 9.
Adding to 223010100000 its reverse (1010322), we get a palindrome (223011110322).
The spelling of 223010100000 in words is "two hundred twenty-three billion, ten million, one hundred thousand".
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