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2116881 = 331337163
BaseRepresentation
bin1000000100110100010001
310222112211000
420010310101
51020220011
6113212213
723664444
oct10046421
93875730
102116881
111216498
12861069
135916c0
143d165b
152bc356
hex204d11

2116881 has 32 divisors (see below), whose sum is σ = 3489920. Its totient is φ = 1259712.

The previous prime is 2116867. The next prime is 2116901. The reversal of 2116881 is 1886112.

It is not a de Polignac number, because 2116881 - 26 = 2116817 is a prime.

It is a super-2 number, since 2×21168812 = 8962370336322, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2116801) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 12906 + ... + 13068.

It is an arithmetic number, because the mean of its divisors is an integer number (109060).

22116881 is an apocalyptic number.

It is an amenable number.

2116881 is a deficient number, since it is larger than the sum of its proper divisors (1373039).

2116881 is a wasteful number, since it uses less digits than its factorization.

2116881 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 216 counting only the distinct ones).

The product of its digits is 768, while the sum is 27.

The square root of 2116881 is about 1454.9505146224. The cubic root of 2116881 is about 128.4001353829.

The spelling of 2116881 in words is "two million, one hundred sixteen thousand, eight hundred eighty-one".

Divisors: 1 3 9 13 27 37 39 111 117 163 333 351 481 489 999 1443 1467 2119 4329 4401 6031 6357 12987 18093 19071 54279 57213 78403 162837 235209 705627 2116881