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2222120 = 23573761
BaseRepresentation
bin1000011110100000101000
311011220011202
420132200220
51032101440
6115343332
724613325
oct10364050
94156152
102222120
11128856a
128b1b48
135ca584
1441bb4c
152dd615
hex21e828

2222120 has 32 divisors (see below), whose sum is σ = 5074920. Its totient is φ = 875520.

The previous prime is 2222093. The next prime is 2222123. The reversal of 2222120 is 212222.

It can be written as a sum of positive squares in 4 ways, for example, as 1085764 + 1136356 = 1042^2 + 1066^2 .

It is not an unprimeable number, because it can be changed into a prime (2222123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2540 + ... + 3300.

22222120 is an apocalyptic number.

2222120 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 2222120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2537460).

2222120 is an abundant number, since it is smaller than the sum of its proper divisors (2852800).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2222120 is a wasteful number, since it uses less digits than its factorization.

2222120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 845 (or 841 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

The square root of 2222120 is about 1490.6776982299. The cubic root of 2222120 is about 130.4935870759.

Adding to 2222120 its reverse (212222), we get a palindrome (2434342).

The spelling of 2222120 in words is "two million, two hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 73 146 292 365 584 730 761 1460 1522 2920 3044 3805 6088 7610 15220 30440 55553 111106 222212 277765 444424 555530 1111060 2222120