202142250544230 has 384 divisors, whose sum is σ = 540063867208320. Its totient is φ = 52445184000000.

The previous prime is 202142250544133. The next prime is 202142250544249. The reversal of 202142250544230 is 32445052241202.

202142250544230 is a `hidden beast` number, since 2 + 0 + 2 + 1 + 4 + 225 + 0 + 5 + 4 + 423 + 0 = 666.

It is a super-2 number, since 2×202142250544230² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 130162427134 + ... + 130162428686.

It is an arithmetic number, because the mean of its divisors is an integer number (1406416320855).

Almost surely, 2^{202142250544230} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 202142250544230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270031933604160).

202142250544230 is an abundant number, since it is smaller than the sum of its proper divisors (337921616664090).

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

202142250544230 is a wasteful number, since it uses less digits than its factorization.

202142250544230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2648 (or 2645 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 36.

The spelling of 202142250544230 in words is "two hundred two trillion, one hundred forty-two billion, two hundred fifty million, five hundred forty-four thousand, two hundred thirty".