34228082251 has 16 divisors (see below), whose sum is σ = 39543897600. Its totient is φ = 29280343680.

The previous prime is 34228082237. The next prime is 34228082267. The reversal of 34228082251 is 15228082243.

It is a cyclic number.

It is not a de Polignac number, because 34228082251 - 2¹⁵ = 34228049483 is a prime.

It is a super-2 number, since 2×34228082251² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 34228082251.

It is not an unprimeable number, because it can be changed into a prime (34228082051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1144450 + ... + 1173976.

It is an arithmetic number, because the mean of its divisors is an integer number (2471493600).

Almost surely, 2^34228082251 is an apocalyptic number.

34228082251 is a deficient number, since it is larger than the sum of its proper divisors (5315815349).

34228082251 is a wasteful number, since it uses less digits than its factorization.

34228082251 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35754.

The product of its (nonzero) digits is 61440, while the sum is 37.

The spelling of 34228082251 in words is "thirty-four billion, two hundred twenty-eight million, eighty-two thousand, two hundred fifty-one".