Search a number
-
+
65564226 = 23271323079
BaseRepresentation
bin1111101000011…
…0111001000010
311120101000012200
43322012321002
5113241023401
610301134030
71424200230
oct372067102
9146330180
1065564226
1134011412
1219b5a316
1310777800
1489c9950
155b51686
hex3e86e42

65564226 has 72 divisors (see below), whose sum is σ = 175855680. Its totient is φ = 17286048.

The previous prime is 65564221. The next prime is 65564243. The reversal of 65564226 is 62246556.

65564226 is a `hidden beast` number, since 6 + 5 + 5 + 642 + 2 + 6 = 666.

65564226 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (65564221) 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 35 ways as a sum of consecutive naturals, for example, 19755 + ... + 22833.

It is an arithmetic number, because the mean of its divisors is an integer number (2442440).

Almost surely, 265564226 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 65564226, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87927840).

65564226 is an abundant number, since it is smaller than the sum of its proper divisors (110291454).

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

65564226 is a wasteful number, since it uses less digits than its factorization.

65564226 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3120 (or 3104 counting only the distinct ones).

The product of its digits is 86400, while the sum is 36.

The square root of 65564226 is about 8097.1739514475. The cubic root of 65564226 is about 403.2326093831.

The spelling of 65564226 in words is "sixty-five million, five hundred sixty-four thousand, two hundred twenty-six".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 39 42 63 78 91 117 126 169 182 234 273 338 507 546 819 1014 1183 1521 1638 2366 3042 3079 3549 6158 7098 9237 10647 18474 21294 21553 27711 40027 43106 55422 64659 80054 120081 129318 193977 240162 280189 360243 387954 520351 560378 720486 840567 1040702 1561053 1681134 2521701 3122106 3642457 4683159 5043402 7284914 9366318 10927371 21854742 32782113 65564226