225655656030 has 192 divisors, whose sum is σ = 702047969280. Its totient is φ = 51577398432.

The previous prime is 225655656029. The next prime is 225655656047. The reversal of 225655656030 is 30656556522.

225655656030 is a `hidden beast` number, since 2 + 2 + 5 + 6 + 5 + 56 + 560 + 30 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 4513027 + ... + 4562753.

It is an arithmetic number, because the mean of its divisors is an integer number (3656499840).

Almost surely, 2^225655656030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225655656030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351023984640).

225655656030 is an abundant number, since it is smaller than the sum of its proper divisors (476392313250).

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

225655656030 is an frugal number, since it uses more digits than its factorization.

225655656030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49778 (or 49744 counting only the distinct ones).

The product of its (nonzero) digits is 1620000, while the sum is 45.

The spelling of 225655656030 in words is "two hundred twenty-five billion, six hundred fifty-five million, six hundred fifty-six thousand, thirty".