223142382720 has 192 divisors, whose sum is σ = 772027883640. Its totient is φ = 59389624320.

The previous prime is 223142382719. The next prime is 223142382739. The reversal of 223142382720 is 27283241322.

223142382720 is a `hidden beast` number, since 2 + 231 + 42 + 382 + 7 + 2 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 97299077184 + 125843305536 = 311928^2 + 354744^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-3 number, since 3×223142382720³ (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2963782 + ... + 3038138.

Almost surely, 2^223142382720 is an apocalyptic number.

223142382720 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 223142382720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386013941820).

223142382720 is an abundant number, since it is smaller than the sum of its proper divisors (548885500920).

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

223142382720 is a wasteful number, since it uses less digits than its factorization.

223142382720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74903 (or 74888 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The spelling of 223142382720 in words is "two hundred twenty-three billion, one hundred forty-two million, three hundred eighty-two thousand, seven hundred twenty".