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12234232240 = 2451719224919
BaseRepresentation
bin10110110010011011…
…11001000110110000
31011120121212101120121
423121031321012300
5200023430412430
65341554020024
7612114154366
oct133115710660
934517771517
1012234232240
1152089a583a
122455277614
1311cc846299
14840b91636
154b90dca7a
hex2d93791b0

12234232240 has 120 divisors (see below), whose sum is σ = 31787652960. Its totient is φ = 4363241472.

The previous prime is 12234232229. The next prime is 12234232253. The reversal of 12234232240 is 4223243221.

12234232240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 478501 + ... + 503419.

It is an arithmetic number, because the mean of its divisors is an integer number (264897108).

Almost surely, 212234232240 is an apocalyptic number.

12234232240 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 12234232240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15893826480).

12234232240 is an abundant number, since it is smaller than the sum of its proper divisors (19553420720).

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

12234232240 is a wasteful number, since it uses less digits than its factorization.

12234232240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24987 (or 24962 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

Adding to 12234232240 its reverse (4223243221), we get a palindrome (16457475461).

The spelling of 12234232240 in words is "twelve billion, two hundred thirty-four million, two hundred thirty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 17 19 20 34 38 40 68 76 80 85 95 136 152 170 190 272 304 323 340 361 380 646 680 722 760 1292 1360 1444 1520 1615 1805 2584 2888 3230 3610 5168 5776 6137 6460 7220 12274 12920 14440 24548 24919 25840 28880 30685 49096 49838 61370 98192 99676 122740 124595 199352 245480 249190 398704 423623 473461 490960 498380 847246 946922 996760 1694492 1893844 1993520 2118115 2367305 3388984 3787688 4236230 4734610 6777968 7575376 8048837 8472460 8995759 9469220 16097674 16944920 17991518 18938440 32195348 33889840 35983036 37876880 40244185 44978795 64390696 71966072 80488370 89957590 128781392 143932144 152927903 160976740 179915180 305855806 321953480 359830360 611711612 643906960 719660720 764639515 1223423224 1529279030 2446846448 3058558060 6117116120 12234232240