305145522300 has 72 divisors (see below), whose sum is σ = 883110449536. Its totient is φ = 81351610560.

The previous prime is 305145522259. The next prime is 305145522301. The reversal of 305145522300 is 3225541503.

It is a super-2 number, since 2×305145522300² (a number of 24 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (305145522301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1081809 + ... + 1334391.

Almost surely, 2^305145522300 is an apocalyptic number.

305145522300 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

305145522300 is an abundant number, since it is smaller than the sum of its proper divisors (577964927236).

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

305145522300 is a wasteful number, since it uses less digits than its factorization.

305145522300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256627 (or 256620 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 30.

The spelling of 305145522300 in words is "three hundred five billion, one hundred forty-five million, five hundred twenty-two thousand, three hundred".