223825140 has 288 divisors, whose sum is σ = 884822400. Its totient is φ = 46448640.

The previous prime is 223825123. The next prime is 223825163. The reversal of 223825140 is 41528322.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 290676 + ... + 291444.

It is an arithmetic number, because the mean of its divisors is an integer number (3072300).

Almost surely, 2^223825140 is an apocalyptic number.

223825140 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 223825140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (442411200).

223825140 is an abundant number, since it is smaller than the sum of its proper divisors (660997260).

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

223825140 is a wasteful number, since it uses less digits than its factorization.

223825140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 812 (or 797 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 223825140 is about 14960.7867440185. The cubic root of 223825140 is about 607.1597240857.

The spelling of 223825140 in words is "two hundred twenty-three million, eight hundred twenty-five thousand, one hundred forty".