2225210331000 has 256 divisors, whose sum is σ = 6970219776000. Its totient is φ = 591038784000.

The previous prime is 2225210330969. The next prime is 2225210331013. The reversal of 2225210331000 is 1330125222.

It is a super-2 number, since 2×2225210331000² (a number of 25 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 63 ways as a sum of consecutive naturals, for example, 1141718026 + ... + 1141719974.

It is an arithmetic number, because the mean of its divisors is an integer number (27227421000).

Almost surely, 2^{2225210331000} is an apocalyptic number.

2225210331000 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 2225210331000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3485109888000).

2225210331000 is an abundant number, since it is smaller than the sum of its proper divisors (4745009445000).

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

2225210331000 is a wasteful number, since it uses less digits than its factorization.

2225210331000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3287 (or 3273 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

Adding to 2225210331000 its reverse (1330125222), we get a palindrome (2226540456222).

The spelling of 2225210331000 in words is "two trillion, two hundred twenty-five billion, two hundred ten million, three hundred thirty-one thousand".