Search a number
-
+
2222016 = 26371163
BaseRepresentation
bin1000011110011111000000
311011220000220
420132133000
51032101031
6115343040
724613116
oct10363700
94156026
102222016
111288485
128b1a80
135ca504
1441bab6
152dd596
hex21e7c0

2222016 has 56 divisors (see below), whose sum is σ = 5998464. Its totient is φ = 725760.

The previous prime is 2221997. The next prime is 2222023. The reversal of 2222016 is 6102222.

It is a junction number, because it is equal to n+sod(n) for n = 2221986 and 2222004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13551 + ... + 13713.

22222016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2222016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2999232).

2222016 is an abundant number, since it is smaller than the sum of its proper divisors (3776448).

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

2222016 is a wasteful number, since it uses less digits than its factorization.

2222016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 2222016 is about 1490.6428143590. The cubic root of 2222016 is about 130.4915512506.

Adding to 2222016 its reverse (6102222), we get a palindrome (8324238).

The spelling of 2222016 in words is "two million, two hundred twenty-two thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 71 96 142 163 192 213 284 326 426 489 568 652 852 978 1136 1304 1704 1956 2272 2608 3408 3912 4544 5216 6816 7824 10432 11573 13632 15648 23146 31296 34719 46292 69438 92584 138876 185168 277752 370336 555504 740672 1111008 2222016