225748380 has 192 divisors, whose sum is σ = 753919488. Its totient is φ = 49751040.

The previous prime is 225748361. The next prime is 225748399. The reversal of 225748380 is 83847522.

It is an interprime number because it is at equal distance from previous prime (225748361) and next prime (225748399).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 711982 + ... + 712298.

It is an arithmetic number, because the mean of its divisors is an integer number (3926664).

Almost surely, 2^225748380 is an apocalyptic number.

225748380 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 225748380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376959744).

225748380 is an abundant number, since it is smaller than the sum of its proper divisors (528171108).

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

225748380 is a wasteful number, since it uses less digits than its factorization.

225748380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 436 (or 434 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 39.

The square root of 225748380 is about 15024.9252909956. The cubic root of 225748380 is about 608.8937937803.

It can be divided in two parts, 225748 and 380, that added together give a triangular number (226128 = T₆₇₂).

The spelling of 225748380 in words is "two hundred twenty-five million, seven hundred forty-eight thousand, three hundred eighty".