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51002226 = 23211223417
BaseRepresentation
bin1100001010001…
…1101101110010
310112222011220100
43002203231302
5101024032401
65021053230
71156340352
oct302435562
9115864810
1051002226
1126875800
12150b7216
13a749642
146ab8b62
154726b86
hex30a3b72

51002226 has 36 divisors (see below), whose sum is σ = 121469166. Its totient is φ = 15454560.

The previous prime is 51002221. The next prime is 51002239. The reversal of 51002226 is 62220015.

51002226 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 44876601 + 6125625 = 6699^2 + 2475^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 51002199 and 51002208.

It is not an unprimeable number, because it can be changed into a prime (51002221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 9531 + ... + 13886.

Almost surely, 251002226 is an apocalyptic number.

51002226 is an abundant number, since it is smaller than the sum of its proper divisors (70466940).

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

51002226 is a wasteful number, since it uses less digits than its factorization.

51002226 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23447 (or 23433 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 51002226 is about 7141.5842780156. The cubic root of 51002226 is about 370.8483722499.

The spelling of 51002226 in words is "fifty-one million, two thousand, two hundred twenty-six".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 121 198 242 363 726 1089 2178 23417 46834 70251 140502 210753 257587 421506 515174 772761 1545522 2318283 2833457 4636566 5666914 8500371 17000742 25501113 51002226