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4225442013 = 3213295323497
BaseRepresentation
bin1111101111011011…
…0010000011011101
3101220110220200202100
43323312302003131
532123203121023
61535141515313
7206465443632
oct37366620335
911813820670
104225442013
111879174141
1299b112b39
13524546160
142c127a189
1519ae57c43
hexfbdb20dd

4225442013 has 48 divisors (see below), whose sum is σ = 6928150320. Its totient is φ = 2463132672.

The previous prime is 4225441993. The next prime is 4225442041. The reversal of 4225442013 is 3102445224.

4225442013 is a `hidden beast` number, since 4 + 225 + 4 + 420 + 13 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 31843449 + 4193598564 = 5643^2 + 64758^2 .

It is not a de Polignac number, because 4225442013 - 29 = 4225441501 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4225442063) 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, 168081 + ... + 191577.

It is an arithmetic number, because the mean of its divisors is an integer number (144336465).

Almost surely, 24225442013 is an apocalyptic number.

It is an amenable number.

4225442013 is a deficient number, since it is larger than the sum of its proper divisors (2702708307).

4225442013 is a wasteful number, since it uses less digits than its factorization.

4225442013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23598 (or 23595 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 4225442013 is about 65003.4000110763. The cubic root of 4225442013 is about 1616.6799368356.

Adding to 4225442013 its reverse (3102445224), we get a palindrome (7327887237).

The spelling of 4225442013 in words is "four billion, two hundred twenty-five million, four hundred forty-two thousand, thirteen".

Divisors: 1 3 9 13 29 39 53 87 117 159 261 377 477 689 1131 1537 2067 3393 4611 6201 13833 19981 23497 59943 70491 179829 211473 305461 681413 916383 1245341 2044239 2749149 3736023 6132717 8858369 11208069 16189433 26575107 36114889 48568299 79725321 108344667 145704897 325034001 469493557 1408480671 4225442013