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214134416 = 24235310979
BaseRepresentation
bin11001100001101…
…10111010010000
3112220221011012022
430300312322100
5414304300131
633125351012
75210053406
oct1460667220
9486834168
10214134416
11aa9673a1
125b868468
1335495972
1420621476
1513bec37b
hexcc36e90

214134416 has 40 divisors (see below), whose sum is σ = 441132480. Its totient is φ = 100470656.

The previous prime is 214134413. The next prime is 214134419. The reversal of 214134416 is 614431412.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (214134413) and next prime (214134419).

It is a super-2 number, since 2×2141344162 = 91707096231322112, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (214134413) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14015 + ... + 24993.

It is an arithmetic number, because the mean of its divisors is an integer number (11028312).

Almost surely, 2214134416 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 214134416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220566240).

214134416 is an abundant number, since it is smaller than the sum of its proper divisors (226998064).

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

214134416 is a wasteful number, since it uses less digits than its factorization.

214134416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11063 (or 11057 counting only the distinct ones).

The product of its digits is 2304, while the sum is 26.

The square root of 214134416 is about 14633.3323614275. The cubic root of 214134416 is about 598.2676102645.

Adding to 214134416 its reverse (614431412), we get a palindrome (828565828).

The spelling of 214134416 in words is "two hundred fourteen million, one hundred thirty-four thousand, four hundred sixteen".

Divisors: 1 2 4 8 16 23 46 53 92 106 184 212 368 424 848 1219 2438 4876 9752 10979 19504 21958 43916 87832 175664 252517 505034 581887 1010068 1163774 2020136 2327548 4040272 4655096 9310192 13383401 26766802 53533604 107067208 214134416