Search a number
-
+
12210262404 = 223371091571607
BaseRepresentation
bin10110101111100100…
…11101000110000100
31011111221202121010220
423113302131012010
5200001311344104
65335340144340
7611403342444
oct132762350604
934457677126
1012210262404
1151a641395a
1224492380b0
1311c78a2c52
1483b912124
154b6e557d9
hex2d7c9d184

12210262404 has 96 divisors (see below), whose sum is σ = 29735650560. Its totient is φ = 3896335872.

The previous prime is 12210262403. The next prime is 12210262433. The reversal of 12210262404 is 40426201221.

It is a happy number.

12210262404 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (12210262403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7597369 + ... + 7598975.

It is an arithmetic number, because the mean of its divisors is an integer number (309746360).

Almost surely, 212210262404 is an apocalyptic number.

It is an amenable number.

12210262404 is an abundant number, since it is smaller than the sum of its proper divisors (17525388156).

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

12210262404 is a wasteful number, since it uses less digits than its factorization.

12210262404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1917 (or 1915 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 12210262404 its reverse (40426201221), we get a palindrome (52636463625).

The spelling of 12210262404 in words is "twelve billion, two hundred ten million, two hundred sixty-two thousand, four hundred four".

Divisors: 1 2 3 4 6 12 37 74 109 111 148 157 218 222 314 327 436 444 471 628 654 942 1308 1607 1884 3214 4033 4821 5809 6428 8066 9642 11618 12099 16132 17113 17427 19284 23236 24198 34226 34854 48396 51339 59459 68452 69708 102678 118918 175163 178377 205356 237836 252299 350326 356754 504598 525489 633181 700652 713508 756897 1009196 1050978 1266362 1513794 1899543 2101956 2532724 3027588 3799086 6481031 7598172 9335063 12962062 18670126 19443093 25924124 27500591 28005189 37340252 38886186 55001182 56010378 77772372 82501773 110002364 112020756 165003546 330007092 1017521867 2035043734 3052565601 4070087468 6105131202 12210262404