2301224221032 has 96 divisors (see below), whose sum is σ = 6328520550240. Its totient is φ = 696799382400.

The previous prime is 2301224221027. The next prime is 2301224221039.

2301224221032 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×2301224221032² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 2301224220993 and 2301224221011.

It is not an unprimeable number, because it can be changed into a prime (2301224221039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3442158 + ... + 4055970.

It is an arithmetic number, because the mean of its divisors is an integer number (65922089065).

Almost surely, 2^{2301224221032} is an apocalyptic number.

2301224221032 is a gapful number since it is divisible by the number (22) 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 2301224221032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3164260275120).

2301224221032 is an abundant number, since it is smaller than the sum of its proper divisors (4027296329208).

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

2301224221032 is a wasteful number, since it uses less digits than its factorization.

2301224221032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 615135 (or 615120 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The spelling of 2301224221032 in words is "two trillion, three hundred one billion, two hundred twenty-four million, two hundred twenty-one thousand, thirty-two".