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225401443435224 = 23337859784122133
BaseRepresentation
bin110011010000000001011100…
…111101111100001011011000
31002120002011112010212011112000
4303100001130331330023120
5214020434124004411344
62115215554342121000
765322500615111550
oct6320013475741330
91076064463764460
10225401443435224
1165902240685511
1221344387420160
1398a035a020c94
143d936b93a8160
151b0d31eb14a69
hexcd005cf7c2d8

225401443435224 has 256 divisors, whose sum is σ = 716516889984000. Its totient is φ = 64314331361280.

The previous prime is 225401443435183. The next prime is 225401443435237. The reversal of 225401443435224 is 422534344104522.

225401443435224 is a `hidden beast` number, since 2 + 2 + 5 + 40 + 1 + 4 + 43 + 43 + 522 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 225401443435224.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10183942462 + ... + 10183964594.

It is an arithmetic number, because the mean of its divisors is an integer number (2798894101500).

Almost surely, 2225401443435224 is an apocalyptic number.

225401443435224 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 225401443435224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358258444992000).

225401443435224 is an abundant number, since it is smaller than the sum of its proper divisors (491115446548776).

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

225401443435224 is a wasteful number, since it uses less digits than its factorization.

225401443435224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30855 (or 30845 counting only the distinct ones).

The product of its (nonzero) digits is 3686400, while the sum is 45.

Adding to 225401443435224 its reverse (422534344104522), we get a palindrome (647935787539746).

The spelling of 225401443435224 in words is "two hundred twenty-five trillion, four hundred one billion, four hundred forty-three million, four hundred thirty-five thousand, two hundred twenty-four".