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225061064217 = 3511241349369
BaseRepresentation
bin1101000110011010101…
…1110100111000011001
3210111220220002122200000
43101212223310320121
512141411113023332
6251220331403213
722155136324113
oct3214653647031
9714826078600
10225061064217
11874a2115720
12377505b3509
13182b93b5b62
14ac706023b3
155cc36a9b7c
hex3466af4e19

225061064217 has 48 divisors (see below), whose sum is σ = 369303654720. Its totient is φ = 135834278400.

The previous prime is 225061064197. The next prime is 225061064251. The reversal of 225061064217 is 712460160522.

It is a happy number.

225061064217 is a `hidden beast` number, since 2 + 2 + 5 + 0 + 6 + 1 + 0 + 642 + 1 + 7 = 666.

It is not a de Polignac number, because 225061064217 - 28 = 225061063961 is a prime.

It is not an unprimeable number, because it can be changed into a prime (225061064257) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 469509 + ... + 818877.

It is an arithmetic number, because the mean of its divisors is an integer number (7693826140).

Almost surely, 2225061064217 is an apocalyptic number.

225061064217 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

It is an amenable number.

225061064217 is a deficient number, since it is larger than the sum of its proper divisors (144242590503).

225061064217 is a wasteful number, since it uses less digits than its factorization.

225061064217 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349636 (or 349624 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 225061064217 in words is "two hundred twenty-five billion, sixty-one million, sixty-four thousand, two hundred seventeen".

Divisors: 1 3 9 11 27 33 81 99 241 243 297 723 891 2169 2651 2673 6507 7953 19521 23859 58563 71577 214731 349369 644193 1048107 3144321 3843059 9432963 11529177 28298889 34587531 84197929 84896667 103762593 252593787 311287779 757781361 926177219 933863337 2273344083 2778531657 6820032249 8335594971 20460096747 25006784913 75020354739 225061064217