Search a number
-
+
8227440 = 2433513293
BaseRepresentation
bin11111011000101001110000
3120110222221000
4133120221300
54101234230
6452202000
7126634464
oct37305160
916428830
108227440
11470a441
122909300
131920b10
1411424a4
15ac7b60
hex7d8a70

8227440 has 160 divisors (see below), whose sum is σ = 30623040. Its totient is φ = 2018304.

The previous prime is 8227423. The next prime is 8227451. The reversal of 8227440 is 447228.

8227440 is digitally balanced in base 4 and base 5, because in such bases 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 (27).

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27934 + ... + 28226.

It is an arithmetic number, because the mean of its divisors is an integer number (191394).

Almost surely, 28227440 is an apocalyptic number.

8227440 is a gapful number since it is divisible by the number (80) 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 8227440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15311520).

8227440 is an abundant number, since it is smaller than the sum of its proper divisors (22395600).

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

8227440 is a wasteful number, since it uses less digits than its factorization.

8227440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 8227440 is about 2868.3514429024. The cubic root of 8227440 is about 201.8776503149.

The spelling of 8227440 in words is "eight million, two hundred twenty-seven thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 27 30 36 39 40 45 48 52 54 60 65 72 78 80 90 104 108 117 120 130 135 144 156 180 195 208 216 234 240 260 270 293 312 351 360 390 432 468 520 540 585 586 624 702 720 780 879 936 1040 1080 1170 1172 1404 1465 1560 1755 1758 1872 2160 2340 2344 2637 2808 2930 3120 3510 3516 3809 4395 4680 4688 5274 5616 5860 7020 7032 7618 7911 8790 9360 10548 11427 11720 13185 14040 14064 15236 15822 17580 19045 21096 22854 23440 26370 28080 30472 31644 34281 35160 38090 39555 42192 45708 52740 57135 60944 63288 68562 70320 76180 79110 91416 102843 105480 114270 126576 137124 152360 158220 171405 182832 205686 210960 228540 274248 304720 316440 342810 411372 457080 514215 548496 632880 685620 822744 914160 1028430 1371240 1645488 2056860 2742480 4113720 8227440