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233244242140 = 2257131129113513
BaseRepresentation
bin1101100100111001110…
…0001011000011011100
3211022001012012011102211
43121032130023003130
512310141011222030
6255052333330204
722565003226520
oct3311634130334
9738035164384
10233244242140
118aa11326388
1239255036964
1318cc1873480
14b40934dd80
156101cda12a
hex364e70b0dc

233244242140 has 96 divisors (see below), whose sum is σ = 603385937280. Its totient is φ = 73751924736.

The previous prime is 233244242137. The next prime is 233244242159. The reversal of 233244242140 is 41242442332.

233244242140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1998024 + ... + 2111536.

It is an arithmetic number, because the mean of its divisors is an integer number (6285270180).

Almost surely, 2233244242140 is an apocalyptic number.

233244242140 is a gapful number since it is divisible by the number (20) 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 233244242140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301692968640).

233244242140 is an abundant number, since it is smaller than the sum of its proper divisors (370141695140).

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

233244242140 is a wasteful number, since it uses less digits than its factorization.

233244242140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114671 (or 114669 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 31.

Adding to 233244242140 its reverse (41242442332), we get a palindrome (274486684472).

The spelling of 233244242140 in words is "two hundred thirty-three billion, two hundred forty-four million, two hundred forty-two thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 52 65 70 91 130 140 182 260 364 455 910 1129 1820 2258 4516 5645 7903 11290 14677 15806 22580 29354 31612 39515 58708 73385 79030 102739 113513 146770 158060 205478 227026 293540 410956 454052 513695 567565 794591 1027390 1135130 1475669 1589182 2054780 2270260 2951338 3178364 3972955 5902676 7378345 7945910 10329683 14756690 15891820 20659366 29513380 41318732 51648415 103296830 128156177 206593660 256312354 512624708 640780885 897093239 1281561770 1666030301 1794186478 2563123540 3332060602 3588372956 4485466195 6664121204 8330151505 8970932390 11662212107 16660303010 17941864780 23324424214 33320606020 46648848428 58311060535 116622121070 233244242140