223410066100 has 144 divisors (see below), whose sum is σ = 531283714416. Its totient is φ = 81040896000.

The previous prime is 223410066071. The next prime is 223410066179. The reversal of 223410066100 is 1660014322.

It can be written as a sum of positive squares in 24 ways, for example, as 223140974884 + 269091216 = 472378^2 + 16404^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 129813240 + ... + 129814960.

It is an arithmetic number, because the mean of its divisors is an integer number (3689470239).

Almost surely, 2^223410066100 is an apocalyptic number.

223410066100 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 223410066100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265641857208).

223410066100 is an abundant number, since it is smaller than the sum of its proper divisors (307873648316).

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

223410066100 is a wasteful number, since it uses less digits than its factorization.

223410066100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3446 (or 3439 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

The spelling of 223410066100 in words is "two hundred twenty-three billion, four hundred ten million, sixty-six thousand, one hundred".