225738744 has 256 divisors, whose sum is σ = 756449280. Its totient is φ = 54405120.

The previous prime is 225738731. The next prime is 225738757. The reversal of 225738744 is 447837522.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (225738731) and next prime (225738757).

It is a Harshad number since it is a multiple of its sum of digits (42).

Its product of digits (376320) is a multiple of the sum of its prime factors (210).

It is a junction number, because it is equal to n+sod(n) for n = 225738696 and 225738705.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1997632 + ... + 1997744.

It is an arithmetic number, because the mean of its divisors is an integer number (2954880).

Almost surely, 2^225738744 is an apocalyptic number.

225738744 is a gapful number since it is divisible by the number (24) 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 225738744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378224640).

225738744 is an abundant number, since it is smaller than the sum of its proper divisors (530710536).

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

225738744 is a wasteful number, since it uses less digits than its factorization.

225738744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 206 counting only the distinct ones).

The product of its digits is 376320, while the sum is 42.

The square root of 225738744 is about 15024.6046204218. The cubic root of 225738744 is about 608.8851301757.

The spelling of 225738744 in words is "two hundred twenty-five million, seven hundred thirty-eight thousand, seven hundred forty-four".