223416982080 has 224 divisors, whose sum is σ = 792890138880. Its totient is φ = 59220725760.

The previous prime is 223416982079. The next prime is 223416982109. The reversal of 223416982080 is 80289614322.

223416982080 is a `hidden beast` number, since 2 + 23 + 416 + 9 + 8 + 208 + 0 = 666.

It is a super-2 number, since 2×223416982080² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 1365460 + ... + 1520300.

It is an arithmetic number, because the mean of its divisors is an integer number (3539688120).

Almost surely, 2^223416982080 is an apocalyptic number.

223416982080 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 223416982080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396445069440).

223416982080 is an abundant number, since it is smaller than the sum of its proper divisors (569473156800).

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

223416982080 is a wasteful number, since it uses less digits than its factorization.

223416982080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155034 (or 155018 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 223416982080 in words is "two hundred twenty-three billion, four hundred sixteen million, nine hundred eighty-two thousand, eighty".