Search a number
-
+
1224352272 = 2431113213721
BaseRepresentation
bin100100011111010…
…0010001000010000
310011022211112120110
41020332202020100
510001413233042
6321254041320
742224552103
oct11076421020
93138745513
101224352272
11579129a90
122a2049240
1316686c900
14b886c73a
157274b09c
hex48fa2210

1224352272 has 120 divisors (see below), whose sum is σ = 3736555488. Its totient is φ = 342451200.

The previous prime is 1224352271. The next prime is 1224352301. The reversal of 1224352272 is 2722534221.

It is not an unprimeable number, because it can be changed into a prime (1224352271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 82372 + ... + 96092.

Almost surely, 21224352272 is an apocalyptic number.

1224352272 is a gapful number since it is divisible by the number (12) 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 1224352272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1868277744).

1224352272 is an abundant number, since it is smaller than the sum of its proper divisors (2512203216).

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

1224352272 is a wasteful number, since it uses less digits than its factorization.

1224352272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13769 (or 13750 counting only the distinct ones).

The product of its digits is 13440, while the sum is 30.

The square root of 1224352272 is about 34990.7455193513. The cubic root of 1224352272 is about 1069.7988593296.

Adding to 1224352272 its reverse (2722534221), we get a palindrome (3946886493).

The spelling of 1224352272 in words is "one billion, two hundred twenty-four million, three hundred fifty-two thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 33 39 44 48 52 66 78 88 104 132 143 156 169 176 208 264 286 312 338 429 507 528 572 624 676 858 1014 1144 1352 1716 1859 2028 2288 2704 3432 3718 4056 5577 6864 7436 8112 11154 13721 14872 22308 27442 29744 41163 44616 54884 82326 89232 109768 150931 164652 178373 219536 301862 329304 356746 452793 535119 603724 658608 713492 905586 1070238 1207448 1426984 1811172 1962103 2140476 2318849 2414896 2853968 3622344 3924206 4280952 4637698 5886309 6956547 7244688 7848412 8561904 9275396 11772618 13913094 15696824 18550792 23545236 25507339 27826188 31393648 37101584 47090472 51014678 55652376 76522017 94180944 102029356 111304752 153044034 204058712 306088068 408117424 612176136 1224352272