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2215136 = 257112931
BaseRepresentation
bin1000011100110011100000
311011112121002
420130303200
51031341021
6115251132
724554060
oct10346340
94145532
102215136
1112832a0
128a9aa8
135c7341
144193a0
152db50b
hex21cce0

2215136 has 96 divisors (see below), whose sum is σ = 5806080. Its totient is φ = 806400.

The previous prime is 2215133. The next prime is 2215141. The reversal of 2215136 is 6315122.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2215133) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 71441 + ... + 71471.

It is an arithmetic number, because the mean of its divisors is an integer number (60480).

22215136 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 2215136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2903040).

2215136 is an abundant number, since it is smaller than the sum of its proper divisors (3590944).

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

2215136 is a wasteful number, since it uses less digits than its factorization.

2215136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 80 counting only the distinct ones).

The product of its digits is 360, while the sum is 20.

The square root of 2215136 is about 1488.3332960060. Note that the first 3 decimals coincide. The cubic root of 2215136 is about 130.3567322294.

The spelling of 2215136 in words is "two million, two hundred fifteen thousand, one hundred thirty-six".

Divisors: 1 2 4 7 8 11 14 16 22 28 29 31 32 44 56 58 62 77 88 112 116 124 154 176 203 217 224 232 248 308 319 341 352 406 434 464 496 616 638 682 812 868 899 928 992 1232 1276 1364 1624 1736 1798 2233 2387 2464 2552 2728 3248 3472 3596 4466 4774 5104 5456 6293 6496 6944 7192 8932 9548 9889 10208 10912 12586 14384 17864 19096 19778 25172 28768 35728 38192 39556 50344 69223 71456 76384 79112 100688 138446 158224 201376 276892 316448 553784 1107568 2215136