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4214217 = 37732749
BaseRepresentation
bin10000000100110111001001
321221002211010
4100010313021
52034323332
6230154133
750551230
oct20046711
97832733
104214217
112419227
1214b2949
13b47227
147b9b17
155839cc
hex404dc9

4214217 has 16 divisors (see below), whose sum is σ = 6512000. Its totient is φ = 2374272.

The previous prime is 4214213. The next prime is 4214227. The reversal of 4214217 is 7124124.

It is a happy number.

It is not a de Polignac number, because 4214217 - 22 = 4214213 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a d-powerful number, because it can be written as 45 + 25 + 1 + 411 + 211 + 1 + 75 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 4214193 and 4214202.

It is not an unprimeable number, because it can be changed into a prime (4214213) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 159 + ... + 2907.

It is an arithmetic number, because the mean of its divisors is an integer number (407000).

Almost surely, 24214217 is an apocalyptic number.

It is an amenable number.

4214217 is a deficient number, since it is larger than the sum of its proper divisors (2297783).

4214217 is a wasteful number, since it uses less digits than its factorization.

4214217 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2832.

The product of its digits is 448, while the sum is 21.

The square root of 4214217 is about 2052.8558156870. The cubic root of 4214217 is about 161.5247081087.

The spelling of 4214217 in words is "four million, two hundred fourteen thousand, two hundred seventeen".

Divisors: 1 3 7 21 73 219 511 1533 2749 8247 19243 57729 200677 602031 1404739 4214217