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65225556 = 223211198669
BaseRepresentation
bin1111100011010…
…0001101010100
311112201210122100
43320310031110
5113144204211
610250002100
71421256654
oct370641524
9145653570
1065225556
11338aaa20
1219a16330
1310689606
14893c364
155ad6156
hex3e34354

65225556 has 72 divisors (see below), whose sum is σ = 189352800. Its totient is φ = 18722880.

The previous prime is 65225551. The next prime is 65225569. The reversal of 65225556 is 65552256.

65225556 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 65225556.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65225551) 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 23 ways as a sum of consecutive naturals, for example, 3190 + ... + 11858.

It is an arithmetic number, because the mean of its divisors is an integer number (2629900).

Almost surely, 265225556 is an apocalyptic number.

65225556 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 65225556, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94676400).

65225556 is an abundant number, since it is smaller than the sum of its proper divisors (124127244).

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

65225556 is a wasteful number, since it uses less digits than its factorization.

65225556 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8709 (or 8704 counting only the distinct ones).

The product of its digits is 90000, while the sum is 36.

The square root of 65225556 is about 8076.2340233552. The cubic root of 65225556 is about 402.5371152586.

The spelling of 65225556 in words is "sixty-five million, two hundred twenty-five thousand, five hundred fifty-six".

Divisors: 1 2 3 4 6 9 11 12 18 19 22 33 36 38 44 57 66 76 99 114 132 171 198 209 228 342 396 418 627 684 836 1254 1881 2508 3762 7524 8669 17338 26007 34676 52014 78021 95359 104028 156042 164711 190718 286077 312084 329422 381436 494133 572154 658844 858231 988266 1144308 1482399 1716462 1811821 1976532 2964798 3432924 3623642 5435463 5929596 7247284 10870926 16306389 21741852 32612778 65225556