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2114816 = 2811751
BaseRepresentation
bin1000000100010100000000
310222102222112
420010110000
51020133231
6113154452
723655434
oct10042400
93872875
102114816
111214990
1285ba28
13590792
143d09c4
152bb92b
hex204500

2114816 has 36 divisors (see below), whose sum is σ = 4611264. Its totient is φ = 960000.

The previous prime is 2114813. The next prime is 2114831. The reversal of 2114816 is 6184112.

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 2114791 and 2114800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2114813) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2441 + ... + 3191.

22114816 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 2114816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2305632).

2114816 is an abundant number, since it is smaller than the sum of its proper divisors (2496448).

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

2114816 is an equidigital number, since it uses as much as digits as its factorization.

2114816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 778 (or 764 counting only the distinct ones).

The product of its digits is 384, while the sum is 23.

The square root of 2114816 is about 1454.2406953459. The cubic root of 2114816 is about 128.3583707076.

Adding to 2114816 its reverse (6184112), we get a palindrome (8298928).

The spelling of 2114816 in words is "two million, one hundred fourteen thousand, eight hundred sixteen".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 256 352 704 751 1408 1502 2816 3004 6008 8261 12016 16522 24032 33044 48064 66088 96128 132176 192256 264352 528704 1057408 2114816