Base | Representation |
---|---|
bin | 110010110000001010100101… |
… | …101111001111111111000000 |
3 | 1002021022212210011102200221200 |
4 | 302300022211233033333000 |
5 | 213224102122114000000 |
6 | 2110422141110021200 |
7 | 65005360111333614 |
oct | 6260124557177700 |
9 | 1067285704380850 |
10 | 223212231000000 |
11 | 651388592a5620 |
12 | 21050038647800 |
13 | 9771a91375988 |
14 | 3d1975b409344 |
15 | 1ac13e078d500 |
hex | cb02a5bcffc0 |
223212231000000 has 1176 divisors, whose sum is σ = 896034212802768. Its totient is φ = 52648704000000.
The previous prime is 223212230999983. The next prime is 223212231000047. The reversal of 223212231000000 is 132212322.
223212231000000 is a `hidden beast` number, since 2 + 232 + 122 + 310 + 0 + 0 + 0 + 0 + 0 = 666.
It is a super-3 number, since 3×2232122310000003 (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.
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 167 ways as a sum of consecutive naturals, for example, 3662969532 + ... + 3663030468.
Almost surely, 2223212231000000 is an apocalyptic number.
223212231000000 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 223212231000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (448017106401384).
223212231000000 is an abundant number, since it is smaller than the sum of its proper divisors (672821981802768).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
223212231000000 is an equidigital number, since it uses as much as digits as its factorization.
223212231000000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 61033 (or 60995 counting only the distinct ones).
The product of its (nonzero) digits is 288, while the sum is 18.
Adding to 223212231000000 its reverse (132212322), we get a palindrome (223212363212322).
The spelling of 223212231000000 in words is "two hundred twenty-three trillion, two hundred twelve billion, two hundred thirty-one million", and thus it is an aban number.
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