Search a number
-
+
2216060 = 2257111439
BaseRepresentation
bin1000011101000001111100
311011120212022
420131001330
51031403220
6115255312
724556550
oct10350174
94146768
102216060
111283a60
128aa538
135c78a2
14419860
152db925
hex21d07c

2216060 has 48 divisors (see below), whose sum is σ = 5806080. Its totient is φ = 690240.

The previous prime is 2216057. The next prime is 2216083. The reversal of 2216060 is 606122.

2216060 = T939 + T940 + ... + T943.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 821 + ... + 2259.

It is an arithmetic number, because the mean of its divisors is an integer number (120960).

22216060 is an apocalyptic number.

2216060 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 2216060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2903040).

2216060 is an abundant number, since it is smaller than the sum of its proper divisors (3590020).

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

2216060 is a wasteful number, since it uses less digits than its factorization.

2216060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1466 (or 1464 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 2216060 is about 1488.6436779834. The cubic root of 2216060 is about 130.3748549506.

The spelling of 2216060 in words is "two million, two hundred sixteen thousand, sixty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 110 140 154 220 308 385 770 1439 1540 2878 5756 7195 10073 14390 15829 20146 28780 31658 40292 50365 63316 79145 100730 110803 158290 201460 221606 316580 443212 554015 1108030 2216060