10202223258 has 96 divisors (see below), whose sum is σ = 23666385600. Its totient is φ = 3170458368.

The previous prime is 10202223257. The next prime is 10202223313. The reversal of 10202223258 is 85232220201.

It is a super-2 number, since 2×10202223258² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10202223257) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1995141 + ... + 2000247.

It is an arithmetic number, because the mean of its divisors is an integer number (246524850).

Almost surely, 2^10202223258 is an apocalyptic number.

10202223258 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10202223258, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11833192800).

10202223258 is an abundant number, since it is smaller than the sum of its proper divisors (13464162342).

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

10202223258 is a wasteful number, since it uses less digits than its factorization.

10202223258 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5276 (or 5273 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 10202223258 its reverse (85232220201), we get a palindrome (95434443459).

The spelling of 10202223258 in words is "ten billion, two hundred two million, two hundred twenty-three thousand, two hundred fifty-eight".