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225482954256 = 243772131507
BaseRepresentation
bin1101000111111111010…
…1001101011000010000
3210120000021221220000000
43101333311031120100
512143242114014011
6251330242130000
722201451326200
oct3217765153020
9716007856000
10225482954256
118769928197a
1237849950900
131835591cc31
14acb0664400
155cea744356
hex347fd4d610

225482954256 has 240 divisors, whose sum is σ = 762188806080. Its totient is φ = 64423211328.

The previous prime is 225482954237. The next prime is 225482954273. The reversal of 225482954256 is 652459284522.

225482954256 is a `hidden beast` number, since 2 + 2 + 5 + 48 + 2 + 9 + 542 + 56 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1648855 + ... + 1780361.

It is an arithmetic number, because the mean of its divisors is an integer number (3175786692).

Almost surely, 2225482954256 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225482954256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381094403040).

225482954256 is an abundant number, since it is smaller than the sum of its proper divisors (536705851824).

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

225482954256 is an equidigital number, since it uses as much as digits as its factorization.

225482954256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131550 (or 131519 counting only the distinct ones).

The product of its digits is 13824000, while the sum is 54.

The spelling of 225482954256 in words is "two hundred twenty-five billion, four hundred eighty-two million, nine hundred fifty-four thousand, two hundred fifty-six".