Base | Representation |
---|---|
bin | 100000010100101010011… |
… | …100100011111010010000 |
3 | 21212100022221220110111120 |
4 | 200110222130203322100 |
5 | 242343014304102344 |
6 | 4420224311442240 |
7 | 316322442240450 |
oct | 40245234437220 |
9 | 7770287813446 |
10 | 2221210222224 |
11 | 787012299964 |
12 | 2ba59a986380 |
13 | 1315c7bc13a6 |
14 | 79715887d60 |
15 | 3cba3577219 |
hex | 2052a723e90 |
2221210222224 has 160 divisors (see below), whose sum is σ = 6850451066880. Its totient is φ = 606376336896.
The previous prime is 2221210222199. The next prime is 2221210222337. The reversal of 2221210222224 is 4222220121222.
It is a Harshad number since it is a multiple of its sum of digits (24).
It is a junction number, because it is equal to n+sod(n) for n = 2221210222194 and 2221210222203.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6945654 + ... + 7258410.
It is an arithmetic number, because the mean of its divisors is an integer number (42815319168).
Almost surely, 22221210222224 is an apocalyptic number.
2221210222224 is a gapful number since it is divisible by the number (24) 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 2221210222224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3425225533440).
2221210222224 is an abundant number, since it is smaller than the sum of its proper divisors (4629240844656).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2221210222224 is a wasteful number, since it uses less digits than its factorization.
2221210222224 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 313717 (or 313711 counting only the distinct ones).
The product of its (nonzero) digits is 2048, while the sum is 24.
Adding to 2221210222224 its reverse (4222220121222), we get a palindrome (6443430343446).
The spelling of 2221210222224 in words is "two trillion, two hundred twenty-one billion, two hundred ten million, two hundred twenty-two thousand, two hundred twenty-four".
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