Base | Representation |
---|---|
bin | 100100011011001… |
… | …1000001100000000 |
3 | 10011011210220222000 |
4 | 1020312120030000 |
5 | 10000341330100 |
6 | 321140144000 |
7 | 42200436201 |
oct | 11066301400 |
9 | 3134726860 |
10 | 1222214400 |
11 | 5779a9850 |
12 | 2a1398000 |
13 | 1662a17b4 |
14 | b84735a8 |
15 | 72477900 |
hex | 48d98300 |
1222214400 has 432 divisors, whose sum is σ = 4896769920. Its totient is φ = 295833600.
The previous prime is 1222214359. The next prime is 1222214417. The reversal of 1222214400 is 44122221.
1222214400 is a `hidden beast` number, since 1 + 2 + 2 + 221 + 440 + 0 = 666.
It is a tau number, because it is divible by the number of its divisors (432).
It is a Harshad number since it is a multiple of its sum of digits (18).
It is an unprimeable number.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1900479 + ... + 1901121.
Almost surely, 21222214400 is an apocalyptic number.
1222214400 is a gapful number since it is divisible by the number (10) 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 1222214400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2448384960).
1222214400 is an abundant number, since it is smaller than the sum of its proper divisors (3674555520).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1222214400 is a wasteful number, since it uses less digits than its factorization.
1222214400 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 689 (or 664 counting only the distinct ones).
The product of its (nonzero) digits is 256, while the sum is 18.
The square root of 1222214400 is about 34960.1830658822. The cubic root of 1222214400 is about 1069.1758290804.
Adding to 1222214400 its reverse (44122221), we get a palindrome (1266336621).
It can be divided in two parts, 122221 and 4400, that added together give a palindrome (126621).
The spelling of 1222214400 in words is "one billion, two hundred twenty-two million, two hundred fourteen thousand, four hundred".
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