4229000 has 32 divisors (see below), whose sum is σ = 9898200. Its totient is φ = 1691200.

The previous prime is 4228993. The next prime is 4229003. The reversal of 4229000 is 9224.

4229000 = 273² + 274² + ... + 320².

It can be written as a sum of positive squares in 4 ways, for example, as 2735716 + 1493284 = 1654^2 + 1222^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 4229000.

It is not an unprimeable number, because it can be changed into a prime (4229003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1115 + ... + 3114.

Almost surely, 2^4229000 is an apocalyptic number.

4229000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4229000 is an abundant number, since it is smaller than the sum of its proper divisors (5669200).

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

4229000 is a wasteful number, since it uses less digits than its factorization.

4229000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4250 (or 4236 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 4229000 is about 2056.4532574313. The cubic root of 4229000 is about 161.7133578721.

The spelling of 4229000 in words is "four million, two hundred twenty-nine thousand".