223380000 has 360 divisors, whose sum is σ = 851999148. Its totient is φ = 55296000.

The previous prime is 223379993. The next prime is 223380019. The reversal of 223380000 is 83322.

It can be written as a sum of positive squares in 10 ways, for example, as 2322576 + 221057424 = 1524^2 + 14868^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 3059964 + ... + 3060036.

Almost surely, 2^223380000 is an apocalyptic number.

223380000 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 223380000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (425999574).

223380000 is an abundant number, since it is smaller than the sum of its proper divisors (628619148).

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

223380000 is a wasteful number, since it uses less digits than its factorization.

223380000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 223380000 is about 14945.9024484974. The cubic root of 223380000 is about 606.7569536490.

The spelling of 223380000 in words is "two hundred twenty-three million, three hundred eighty thousand".