Base | Representation |
---|---|
bin | 1000011110100101000000 |
3 | 11011220120010 |
4 | 20132211000 |
5 | 1032104100 |
6 | 115344520 |
7 | 24614205 |
oct | 10364500 |
9 | 4156503 |
10 | 2222400 |
11 | 12887a4 |
12 | 8b2140 |
13 | 5ca73b |
14 | 41bcac |
15 | 2dd750 |
hex | 21e940 |
2222400 has 84 divisors (see below), whose sum is σ = 7307072. Its totient is φ = 591360.
The previous prime is 2222387. The next prime is 2222443. The reversal of 2222400 is 42222.
It is a happy number.
It is a Harshad number since it is a multiple of its sum of digits (12).
It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4569 + ... + 5031.
22222400 is an apocalyptic number.
2222400 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 2222400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3653536).
2222400 is an abundant number, since it is smaller than the sum of its proper divisors (5084672).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2222400 is a wasteful number, since it uses less digits than its factorization.
2222400 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 488 (or 473 counting only the distinct ones).
The product of its (nonzero) digits is 64, while the sum is 12.
The square root of 2222400 is about 1490.7716122867. The cubic root of 2222400 is about 130.4990678285.
Adding to 2222400 its reverse (42222), we get a palindrome (2264622).
It can be divided in two parts, 22 and 22400, that added together give a palindrome (22422).
The spelling of 2222400 in words is "two million, two hundred twenty-two thousand, four hundred".
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