Search a number
-
+
2202116 = 227314359
BaseRepresentation
bin1000011001101000000100
311010212201212
420121220010
51030431431
6115110552
724501110
oct10315004
94125655
102202116
111274534
128a2458
135c1437
14414740
152d772b
hex219a04

2202116 has 48 divisors (see below), whose sum is σ = 4730880. Its totient is φ = 876960.

The previous prime is 2202077. The next prime is 2202121. The reversal of 2202116 is 6112022.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a self number, because there is not a number n which added to its sum of digits gives 2202116.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37295 + ... + 37353.

It is an arithmetic number, because the mean of its divisors is an integer number (98560).

22202116 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 2202116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2365440).

2202116 is an abundant number, since it is smaller than the sum of its proper divisors (2528764).

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

2202116 is a wasteful number, since it uses less digits than its factorization.

2202116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 2202116 is about 1483.9528294390. The cubic root of 2202116 is about 130.1008290737.

Adding to 2202116 its reverse (6112022), we get a palindrome (8314138).

The spelling of 2202116 in words is "two million, two hundred two thousand, one hundred sixteen".

Divisors: 1 2 4 7 14 28 31 43 59 62 86 118 124 172 217 236 301 413 434 602 826 868 1204 1333 1652 1829 2537 2666 3658 5074 5332 7316 9331 10148 12803 17759 18662 25606 35518 37324 51212 71036 78647 157294 314588 550529 1101058 2202116