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2196216 = 2332114759
BaseRepresentation
bin1000011000001011111000
311010120122100
420120023320
51030234331
6115023400
724444651
oct10301370
94116570
102196216
111270060
1289ab60
135bb849
14412528
152d5ae6
hex2182f8

2196216 has 96 divisors (see below), whose sum is σ = 6739200. Its totient is φ = 640320.

The previous prime is 2196197. The next prime is 2196221. The reversal of 2196216 is 6126912.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 2196216.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37195 + ... + 37253.

It is an arithmetic number, because the mean of its divisors is an integer number (70200).

22196216 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 2196216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3369600).

2196216 is an abundant number, since it is smaller than the sum of its proper divisors (4542984).

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

2196216 is a wasteful number, since it uses less digits than its factorization.

2196216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 122 counting only the distinct ones).

The product of its digits is 1296, while the sum is 27.

The square root of 2196216 is about 1481.9635623051. The cubic root of 2196216 is about 129.9845346494.

The spelling of 2196216 in words is "two million, one hundred ninety-six thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 47 59 66 72 88 94 99 118 132 141 177 188 198 236 264 282 354 376 396 423 472 517 531 564 649 708 792 846 1034 1062 1128 1298 1416 1551 1692 1947 2068 2124 2596 2773 3102 3384 3894 4136 4248 4653 5192 5546 5841 6204 7788 8319 9306 11092 11682 12408 15576 16638 18612 22184 23364 24957 30503 33276 37224 46728 49914 61006 66552 91509 99828 122012 183018 199656 244024 274527 366036 549054 732072 1098108 2196216