225211523040 has 1536 divisors, whose sum is σ = 983720263680. Its totient is φ = 47029248000.

The previous prime is 225211523029. The next prime is 225211523059. The reversal of 225211523040 is 40325112522.

225211523040 is a `hidden beast` number, since 22 + 521 + 1 + 52 + 30 + 40 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 225211522995 and 225211523013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1491466965 + ... + 1491467115.

It is an arithmetic number, because the mean of its divisors is an integer number (640442880).

Almost surely, 2^225211523040 is an apocalyptic number.

225211523040 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 225211523040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (491860131840).

225211523040 is an abundant number, since it is smaller than the sum of its proper divisors (758508740640).

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

225211523040 is a wasteful number, since it uses less digits than its factorization.

225211523040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 225211523040 its reverse (40325112522), we get a palindrome (265536635562).

The spelling of 225211523040 in words is "two hundred twenty-five billion, two hundred eleven million, five hundred twenty-three thousand, forty".