Search a number
-
+
65226168 = 23337179241
BaseRepresentation
bin1111100011010…
…0010110111000
311112201211111000
43320310112320
5113144214133
610250005000
71421261520
oct370642670
9145654430
1065226168
1133900427
1219a16760
1310689987
14893c680
155ad6413
hex3e345b8

65226168 has 128 divisors (see below), whose sum is σ = 209088000. Its totient is φ = 18455040.

The previous prime is 65226163. The next prime is 65226169. The reversal of 65226168 is 86162256.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

Its product of digits (34560) is a multiple of the sum of its prime divisors (432).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65226163) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 270528 + ... + 270768.

It is an arithmetic number, because the mean of its divisors is an integer number (1633500).

Almost surely, 265226168 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 65226168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104544000).

65226168 is an abundant number, since it is smaller than the sum of its proper divisors (143861832).

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

65226168 is a wasteful number, since it uses less digits than its factorization.

65226168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 442 (or 432 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 65226168 is about 8076.2719122130. The cubic root of 65226168 is about 402.5383742331.

The spelling of 65226168 in words is "sixty-five million, two hundred twenty-six thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 126 168 179 189 216 241 252 358 378 482 504 537 716 723 756 964 1074 1253 1432 1446 1512 1611 1687 1928 2148 2169 2506 2892 3222 3374 3759 4296 4338 4833 5012 5061 5784 6444 6507 6748 7518 8676 9666 10024 10122 11277 12888 13014 13496 15036 15183 17352 19332 20244 22554 26028 30072 30366 33831 38664 40488 43139 45108 45549 52056 60732 67662 86278 90216 91098 121464 129417 135324 172556 182196 258834 270648 301973 345112 364392 388251 517668 603946 776502 905919 1035336 1164753 1207892 1553004 1811838 2329506 2415784 2717757 3106008 3623676 4659012 5435514 7247352 8153271 9318024 10871028 16306542 21742056 32613084 65226168