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2214016 = 2772353
BaseRepresentation
bin1000011100100010000000
311011111001121
420130202000
51031322031
6115242024
724550600
oct10344200
94144047
102214016
111282472
128a9314
135c698c
14418c00
152db011
hex21c880

2214016 has 48 divisors (see below), whose sum is σ = 5145390. Its totient is φ = 946176.

The previous prime is 2214011. The next prime is 2214073. The reversal of 2214016 is 6104122.

It can be written as a sum of positive squares in only one way, i.e., 1960000 + 254016 = 1400^2 + 504^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (2214011) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6096 + ... + 6448.

22214016 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 2214016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2572695).

2214016 is an abundant number, since it is smaller than the sum of its proper divisors (2931374).

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

2214016 is an equidigital number, since it uses as much as digits as its factorization.

2214016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 381 (or 362 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 2214016 is about 1487.9569886257. The cubic root of 2214016 is about 130.3347585366.

Adding to 2214016 its reverse (6104122), we get a palindrome (8318138).

The spelling of 2214016 in words is "two million, two hundred fourteen thousand, sixteen".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 353 392 448 706 784 896 1412 1568 2471 2824 3136 4942 5648 6272 9884 11296 17297 19768 22592 34594 39536 45184 69188 79072 138376 158144 276752 316288 553504 1107008 2214016