34222000 has 80 divisors (see below), whose sum is σ = 84262464. Its totient is φ = 13440000.

The previous prime is 34221997. The next prime is 34222009. The reversal of 34222000 is 22243.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×34222000² = 2342290568000000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (34222009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 141880 + ... + 142120.

Almost surely, 2^34222000 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 34222000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42131232).

34222000 is an abundant number, since it is smaller than the sum of its proper divisors (50040464).

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

34222000 is a wasteful number, since it uses less digits than its factorization.

34222000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 13.

The square root of 34222000 is about 5849.9572648012. The cubic root of 34222000 is about 324.6647430387.

Adding to 34222000 its reverse (22243), we get a palindrome (34244243).

The spelling of 34222000 in words is "thirty-four million, two hundred twenty-two thousand".