202234134402300 has 864 divisors, whose sum is σ = 799837074650880. Its totient is φ = 38781537177600.

The previous prime is 202234134402277. The next prime is 202234134402317. The reversal of 202234134402300 is 3204431432202.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 13510189216 + ... + 13510204184.

It is an arithmetic number, because the mean of its divisors is an integer number (925737354920).

Almost surely, 2^{202234134402300} is an apocalyptic number.

202234134402300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 202234134402300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399918537325440).

202234134402300 is an abundant number, since it is smaller than the sum of its proper divisors (597602940248580).

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

202234134402300 is a wasteful number, since it uses less digits than its factorization.

202234134402300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21451 (or 21437 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 30.

Adding to 202234134402300 its reverse (3204431432202), we get a palindrome (205438565834502).

The spelling of 202234134402300 in words is "two hundred two trillion, two hundred thirty-four billion, one hundred thirty-four million, four hundred two thousand, three hundred".