Search a number
-
+
228566472 = 233314159127
BaseRepresentation
bin11011001111110…
…10010111001000
3120221002101020220
431213322113020
5432003111342
634402550040
75443532361
oct1547722710
9527071226
10228566472
11108024412
1264668320
1338479944
14224dab68
15150ed5ec
hexd9fa5c8

228566472 has 128 divisors (see below), whose sum is σ = 619315200. Its totient is φ = 70156800.

The previous prime is 228566467. The next prime is 228566473. The reversal of 228566472 is 274665822.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (228566473) 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, 1799673 + ... + 1799799.

It is an arithmetic number, because the mean of its divisors is an integer number (4838400).

Almost surely, 2228566472 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 228566472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309657600).

228566472 is an abundant number, since it is smaller than the sum of its proper divisors (390748728).

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

228566472 is a wasteful number, since it uses less digits than its factorization.

228566472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267 (or 263 counting only the distinct ones).

The product of its digits is 322560, while the sum is 42.

The square root of 228566472 is about 15118.4149962885. The cubic root of 228566472 is about 611.4169978760.

The spelling of 228566472 in words is "two hundred twenty-eight million, five hundred sixty-six thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 24 31 41 59 62 82 93 118 123 124 127 164 177 186 236 246 248 254 328 354 372 381 472 492 508 708 744 762 984 1016 1271 1416 1524 1829 2419 2542 3048 3658 3813 3937 4838 5084 5207 5487 7257 7316 7493 7626 7874 9676 10168 10414 10974 11811 14514 14632 14986 15252 15621 15748 19352 20828 21948 22479 23622 29028 29972 30504 31242 31496 41656 43896 44958 47244 58056 59944 62484 74989 89916 94488 124968 149978 161417 179832 224967 232283 299956 307213 322834 449934 464566 484251 599912 614426 645668 696849 899868 921639 929132 968502 1228852 1291336 1393698 1799736 1843278 1858264 1937004 2457704 2787396 3686556 3874008 5574792 7373112 9523603 19047206 28570809 38094412 57141618 76188824 114283236 228566472