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2116422 = 233711509
BaseRepresentation
bin1000000100101101000110
310222112012000
420010231012
51020211142
6113210130
723663220
oct10045506
93875160
102116422
111216110
12860946
13591429
143d1410
152bc14c
hex204b46

2116422 has 64 divisors (see below), whose sum is σ = 5875200. Its totient is φ = 548640.

The previous prime is 2116409. The next prime is 2116423. The reversal of 2116422 is 2246112.

2116422 is a `hidden beast` number, since 21 + 1 + 642 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2116395 and 2116404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2116423) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3904 + ... + 4412.

It is an arithmetic number, because the mean of its divisors is an integer number (91800).

22116422 is an apocalyptic number.

2116422 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

2116422 is the 1188-th pentagonal number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2116422, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2937600).

2116422 is an abundant number, since it is smaller than the sum of its proper divisors (3758778).

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

2116422 is a wasteful number, since it uses less digits than its factorization.

2116422 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 538 (or 532 counting only the distinct ones).

The product of its digits is 192, while the sum is 18.

The square root of 2116422 is about 1454.7927687475. The cubic root of 2116422 is about 128.3908544451.

The spelling of 2116422 in words is "two million, one hundred sixteen thousand, four hundred twenty-two".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 27 33 42 54 63 66 77 99 126 154 189 198 231 297 378 462 509 594 693 1018 1386 1527 2079 3054 3563 4158 4581 5599 7126 9162 10689 11198 13743 16797 21378 27486 32067 33594 39193 50391 64134 78386 96201 100782 117579 151173 192402 235158 302346 352737 705474 1058211 2116422