223177680 has 400 divisors, whose sum is σ = 881515008. Its totient is φ = 51840000.

The previous prime is 223177657. The next prime is 223177687. The reversal of 223177680 is 86771322.

223177680 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×223177680³ (a number of 26 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223177687) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2209630 + ... + 2209730.

Almost surely, 2^223177680 is an apocalyptic number.

223177680 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 223177680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (440757504).

223177680 is an abundant number, since it is smaller than the sum of its proper divisors (658337328).

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

223177680 is a wasteful number, since it uses less digits than its factorization.

223177680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 223177680 is about 14939.1325049348. The cubic root of 223177680 is about 606.5737141060.

The spelling of 223177680 in words is "two hundred twenty-three million, one hundred seventy-seven thousand, six hundred eighty".