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225006247242 = 23273315395057
BaseRepresentation
bin1101000110001101101…
…0101101110101001010
3210111210001221122220200
43101203122231311022
512141303044402432
6251211052433030
722153602354630
oct3214332556512
9714701848820
10225006247242
1187474184937
1237736178776
13182aac3208a
14ac67213350
155cbd97ca7c
hex34636add4a

225006247242 has 48 divisors (see below), whose sum is σ = 558841687872. Its totient is φ = 64093265280.

The previous prime is 225006247237. The next prime is 225006247247. The reversal of 225006247242 is 242742600522.

225006247242 is a `hidden beast` number, since 2 + 2 + 5 + 0 + 0 + 624 + 7 + 24 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (225006247237) and next prime (225006247247).

It is a super-2 number, since 2×2250062472422 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 225006247197 and 225006247206.

It is not an unprimeable number, because it can be changed into a prime (225006247247) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2655823 + ... + 2739234.

It is an arithmetic number, because the mean of its divisors is an integer number (11642535164).

Almost surely, 2225006247242 is an apocalyptic number.

225006247242 is an abundant number, since it is smaller than the sum of its proper divisors (333835440630).

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

225006247242 is a wasteful number, since it uses less digits than its factorization.

225006247242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5395403 (or 5395400 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 36.

Adding to 225006247242 its reverse (242742600522), we get a palindrome (467748847764).

The spelling of 225006247242 in words is "two hundred twenty-five billion, six million, two hundred forty-seven thousand, two hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 331 662 993 1986 2317 2979 4634 5958 6951 13902 20853 41706 5395057 10790114 16185171 32370342 37765399 48555513 75530798 97111026 113296197 226592394 339888591 679777182 1785763867 3571527734 5357291601 10714583202 12500347069 16071874803 25000694138 32143749606 37501041207 75002082414 112503123621 225006247242