Search a number
-
+
1210220232 = 2331353163449
BaseRepresentation
bin100100000100010…
…0111111011001000
310010100020120001120
41020020213323020
54434304021412
6320031115240
741663462604
oct11010477310
93110216046
101210220232
11571157411
12299372b20
13163962360
14b6a30504
15713a8b8c
hex48227ec8

1210220232 has 128 divisors (see below), whose sum is σ = 3347568000. Its totient is φ = 362299392.

The previous prime is 1210220227. The next prime is 1210220239. The reversal of 1210220232 is 2320220121.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (1210220239) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2695144 + ... + 2695592.

It is an arithmetic number, because the mean of its divisors is an integer number (26152875).

Almost surely, 21210220232 is an apocalyptic number.

1210220232 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 1210220232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1673784000).

1210220232 is an abundant number, since it is smaller than the sum of its proper divisors (2137347768).

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

1210220232 is a wasteful number, since it uses less digits than its factorization.

1210220232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 687 (or 683 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 1210220232 is about 34788.2197302478. The cubic root of 1210220232 is about 1065.6668829030. Note that the first 3 decimals are identical.

Adding to 1210220232 its reverse (2320220121), we get a palindrome (3530440353).

The spelling of 1210220232 in words is "one billion, two hundred ten million, two hundred twenty thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 53 78 104 106 156 159 163 212 312 318 326 424 449 489 636 652 689 898 978 1272 1304 1347 1378 1796 1956 2067 2119 2694 2756 3592 3912 4134 4238 5388 5512 5837 6357 8268 8476 8639 10776 11674 12714 16536 16952 17278 17511 23348 23797 25428 25917 34556 35022 46696 47594 50856 51834 69112 70044 71391 73187 95188 103668 112307 140088 142782 146374 190376 207336 219561 224614 285564 292748 309361 336921 439122 449228 571128 585496 618722 673842 878244 898456 928083 951431 1237444 1347684 1756488 1856166 1902862 2474888 2695368 2854293 3712332 3805724 3878911 5708586 7424664 7611448 7757822 11417172 11636733 15515644 22834344 23273466 31031288 46546932 50425843 93093864 100851686 151277529 201703372 302555058 403406744 605110116 1210220232