225738243200 has 216 divisors, whose sum is σ = 575658692595. Its totient is φ = 87467857920.

The previous prime is 225738243197. The next prime is 225738243223. The reversal of 225738243200 is 2342837522.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 179037304384 + 46700938816 = 423128^2 + 216104^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=335960.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 994441487 + ... + 994441713.

Almost surely, 2^225738243200 is an apocalyptic number.

225738243200 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 225738243200

225738243200 is an abundant number, since it is smaller than the sum of its proper divisors (349920449395).

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

225738243200 is an frugal number, since it uses more digits than its factorization.

225738243200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 552 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 38.

The spelling of 225738243200 in words is "two hundred twenty-five billion, seven hundred thirty-eight million, two hundred forty-three thousand, two hundred".