2232013203000 has 384 divisors, whose sum is σ = 8667135959040. Its totient is φ = 507500640000.

The previous prime is 2232013202963. The next prime is 2232013203019. The reversal of 2232013203000 is 3023102322.

It is a happy number.

2232013203000 is a `hidden beast` number, since 2 + 23 + 20 + 1 + 320 + 300 + 0 = 666.

It is a super-3 number, since 3×2232013203000³ (a number of 38 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11940255 + ... + 12125745.

It is an arithmetic number, because the mean of its divisors is an integer number (22570666560).

Almost surely, 2^{2232013203000} is an apocalyptic number.

2232013203000 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 2232013203000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4333567979520).

2232013203000 is an abundant number, since it is smaller than the sum of its proper divisors (6435122756040).

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

2232013203000 is a wasteful number, since it uses less digits than its factorization.

2232013203000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185716 (or 185699 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 2232013203000 its reverse (3023102322), we get a palindrome (2235036305322).

It can be divided in two parts, 223201 and 3203000, that added together give a square (3426201 = 1851²).

The spelling of 2232013203000 in words is "two trillion, two hundred thirty-two billion, thirteen million, two hundred three thousand".