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225393447861 = 32194935333637
BaseRepresentation
bin1101000111101001111…
…1110001001110110101
3210112210001112111022100
43101322133301032311
512143101210312421
6251313323452313
722166313460461
oct3217237611665
9715701474270
10225393447861
11876527a844a
1237823987099
131834021187a
14aca28054a1
155ce2963c26
hex347a7f13b5

225393447861 has 24 divisors (see below), whose sum is σ = 325917142200. Its totient is φ = 150101410176.

The previous prime is 225393447857. The next prime is 225393447863. The reversal of 225393447861 is 168744393522.

225393447861 is a `hidden beast` number, since 2 + 2 + 53 + 93 + 447 + 8 + 61 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 37237034961 + 188156412900 = 192969^2 + 433770^2 .

It is not a de Polignac number, because 225393447861 - 22 = 225393447857 is a prime.

It is a super-3 number, since 3×2253934478613 (a number of 35 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 225393447798 and 225393447807.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225393447863) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 61970535 + ... + 61974171.

It is an arithmetic number, because the mean of its divisors is an integer number (13579880925).

Almost surely, 2225393447861 is an apocalyptic number.

It is an amenable number.

225393447861 is a deficient number, since it is larger than the sum of its proper divisors (100523694339).

225393447861 is a wasteful number, since it uses less digits than its factorization.

225393447861 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9125 (or 9122 counting only the distinct ones).

The product of its digits is 8709120, while the sum is 54.

The spelling of 225393447861 in words is "two hundred twenty-five billion, three hundred ninety-three million, four hundred forty-seven thousand, eight hundred sixty-one".

Divisors: 1 3 9 1949 3533 3637 5847 10599 10911 17541 31797 32733 6885817 7088513 12849521 20657451 21265539 38548563 61972353 63796617 115645689 25043716429 75131149287 225393447861