223002445120 has 224 divisors, whose sum is σ = 654204773376. Its totient is φ = 70507929600.

The previous prime is 223002445117. The next prime is 223002445151. The reversal of 223002445120 is 21544200322.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×223002445120² (a number of 23 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 31 ways as a sum of consecutive naturals, for example, 35843610 + ... + 35849830.

It is an arithmetic number, because the mean of its divisors is an integer number (2920557024).

Almost surely, 2^223002445120 is an apocalyptic number.

223002445120 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 223002445120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327102386688).

223002445120 is an abundant number, since it is smaller than the sum of its proper divisors (431202328256).

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

223002445120 is a wasteful number, since it uses less digits than its factorization.

223002445120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7489 (or 7479 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

Adding to 223002445120 its reverse (21544200322), we get a palindrome (244546645442).

The spelling of 223002445120 in words is "two hundred twenty-three billion, two million, four hundred forty-five thousand, one hundred twenty".