221310034000 has 160 divisors (see below), whose sum is σ = 584205822720. Its totient is φ = 80417088000.

The previous prime is 221310033979. The next prime is 221310034087. The reversal of 221310034000 is 430013122.

It is a happy number.

It is a super-2 number, since 2×221310034000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39355189 + ... + 39360811.

It is an arithmetic number, because the mean of its divisors is an integer number (3651286392).

Almost surely, 2^221310034000 is an apocalyptic number.

221310034000 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 221310034000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292102911360).

221310034000 is an abundant number, since it is smaller than the sum of its proper divisors (362895788720).

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

221310034000 is a wasteful number, since it uses less digits than its factorization.

221310034000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7446 (or 7430 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 221310034000 its reverse (430013122), we get a palindrome (221740047122).

The spelling of 221310034000 in words is "two hundred twenty-one billion, three hundred ten million, thirty-four thousand".