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4290219 = 33198363
BaseRepresentation
bin10000010111011010101011
322001222002000
4100113122223
52044241334
6231542043
751315633
oct20273253
98058060
104290219
11247033a
12152a923
13b729bb
147d96c3
1559b299
hex4176ab

4290219 has 16 divisors (see below), whose sum is σ = 6691200. Its totient is φ = 2709288.

The previous prime is 4290217. The next prime is 4290233. The reversal of 4290219 is 9120924.

It is not a de Polignac number, because 4290219 - 21 = 4290217 is a prime.

It is a super-3 number, since 3×42902193 (a number of 21 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (27).

4290219 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 4290192 and 4290201.

It is not an unprimeable number, because it can be changed into a prime (4290217) 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, 3669 + ... + 4694.

It is an arithmetic number, because the mean of its divisors is an integer number (418200).

Almost surely, 24290219 is an apocalyptic number.

4290219 is a deficient number, since it is larger than the sum of its proper divisors (2400981).

4290219 is a wasteful number, since it uses less digits than its factorization.

4290219 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8391 (or 8385 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 4290219 is about 2071.2843841443. The cubic root of 4290219 is about 162.4899433619.

The spelling of 4290219 in words is "four million, two hundred ninety thousand, two hundred nineteen".

Divisors: 1 3 9 19 27 57 171 513 8363 25089 75267 158897 225801 476691 1430073 4290219