Search a number
-
+
1228748466 = 2311237149307
BaseRepresentation
bin100100100111101…
…0011011010110010
310011122002220000110
41021033103122302
510004024422331
6321532202150
742310122021
oct11117233262
93148086013
101228748466
11580661a00
122a3609356
1316774b8ca
14b92948b8
1572d18946
hex493d36b2

1228748466 has 96 divisors (see below), whose sum is σ = 2801937600. Its totient is φ = 358680960.

The previous prime is 1228748431. The next prime is 1228748489. The reversal of 1228748466 is 6648478221.

1228748466 = 52632 + 52642 + ... + 53062.

1228748466 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4002285 + ... + 4002591.

It is an arithmetic number, because the mean of its divisors is an integer number (29186850).

Almost surely, 21228748466 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1228748466, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1400968800).

1228748466 is an abundant number, since it is smaller than the sum of its proper divisors (1573189134).

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

1228748466 is a wasteful number, since it uses less digits than its factorization.

1228748466 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 520 (or 509 counting only the distinct ones).

The product of its digits is 1032192, while the sum is 48.

The square root of 1228748466 is about 35053.5086118351. The cubic root of 1228748466 is about 1071.0777465898.

The spelling of 1228748466 in words is "one billion, two hundred twenty-eight million, seven hundred forty-eight thousand, four hundred sixty-six".

Divisors: 1 2 3 6 11 22 33 37 66 74 111 121 149 222 242 298 307 363 407 447 614 726 814 894 921 1221 1639 1842 2442 3278 3377 4477 4917 5513 6754 8954 9834 10131 11026 11359 13431 16539 18029 20262 22718 26862 33078 34077 36058 37147 45743 54087 60643 68154 74294 91486 108174 111441 121286 124949 137229 181929 222882 249898 274458 363858 374847 503173 667073 749694 1006346 1334146 1374439 1509519 1692491 2001219 2748878 3019038 3384982 4002438 4123317 5077473 5534903 8246634 10154946 11069806 16604709 18617401 33209418 37234802 55852203 111704406 204791411 409582822 614374233 1228748466