Search a number
-
+
12233114440 = 2355346112517
BaseRepresentation
bin10110110010010011…
…01000001101001000
31011120112202121020121
423121021220031020
5200023134130230
65341514033024
7612101520451
oct133111501510
934515677217
1012233114440
115208301a38
122454a18774
1311cc544571
14840980128
154b8e6b77a
hex2d9268348

12233114440 has 64 divisors (see below), whose sum is σ = 28106915760. Its totient is φ = 4790123520.

The previous prime is 12233114431. The next prime is 12233114449. The reversal of 12233114440 is 4441133221.

It is an interprime number because it is at equal distance from previous prime (12233114431) and next prime (12233114449).

It can be written as a sum of positive squares in 8 ways, for example, as 8709742276 + 3523372164 = 93326^2 + 59358^2 .

It is not an unprimeable number, because it can be changed into a prime (12233114449) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 971062 + ... + 983578.

Almost surely, 212233114440 is an apocalyptic number.

12233114440 is a gapful number since it is divisible by the number (10) 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 12233114440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14053457880).

12233114440 is an abundant number, since it is smaller than the sum of its proper divisors (15873801320).

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

12233114440 is a wasteful number, since it uses less digits than its factorization.

12233114440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13042 (or 13038 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 12233114440 its reverse (4441133221), we get a palindrome (16674247661).

The spelling of 12233114440 in words is "twelve billion, two hundred thirty-three million, one hundred fourteen thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 53 106 212 265 424 461 530 922 1060 1844 2120 2305 3688 4610 9220 12517 18440 24433 25034 48866 50068 62585 97732 100136 122165 125170 195464 244330 250340 488660 500680 663401 977320 1326802 2653604 3317005 5307208 5770337 6634010 11540674 13268020 23081348 26536040 28851685 46162696 57703370 115406740 230813480 305827861 611655722 1223311444 1529139305 2446622888 3058278610 6116557220 12233114440