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234622513424 = 24132896531493
BaseRepresentation
bin1101101010000010010…
…1110111000100010000
3211102121020122121012102
43122200211313010100
512321001330412144
6255441210415532
722644110313245
oct3324045670420
9742536577172
10234622513424
1190559323a62
123957a7315a8
1319181284a00
14b4da4075cc
156182cdbb4e
hex36a0977110

234622513424 has 120 divisors (see below), whose sum is σ = 498865693320. Its totient is φ = 106835030016.

The previous prime is 234622513421. The next prime is 234622513429. The reversal of 234622513424 is 424315226432.

It can be written as a sum of positive squares in 12 ways, for example, as 139302125824 + 95320387600 = 373232^2 + 308740^2 .

It is not an unprimeable number, because it can be changed into a prime (234622513421) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 157147622 + ... + 157149114.

It is an arithmetic number, because the mean of its divisors is an integer number (4157214111).

Almost surely, 2234622513424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 234622513424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249432846660).

234622513424 is an abundant number, since it is smaller than the sum of its proper divisors (264243179896).

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

234622513424 is a wasteful number, since it uses less digits than its factorization.

234622513424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2269 (or 2250 counting only the distinct ones).

The product of its digits is 276480, while the sum is 38.

Adding to 234622513424 its reverse (424315226432), we get a palindrome (658937739856).

The spelling of 234622513424 in words is "two hundred thirty-four billion, six hundred twenty-two million, five hundred thirteen thousand, four hundred twenty-four".

Divisors: 1 2 4 8 13 16 26 52 89 104 169 178 208 338 356 653 676 712 1157 1306 1352 1424 1493 2314 2612 2704 2986 4628 5224 5972 8489 9256 10448 11944 15041 16978 18512 19409 23888 30082 33956 38818 58117 60164 67912 77636 110357 116234 120328 132877 135824 155272 220714 232468 240656 252317 265754 310544 441428 464936 504634 531508 755521 882856 929872 974929 1009268 1063016 1511042 1727401 1765712 1949858 2018536 2126032 3022084 3454802 3899716 4037072 6044168 6909604 7799432 9821773 12088336 12674077 13819208 15598864 19643546 22456213 25348154 27638416 39287092 44912426 50696308 78574184 86768681 89824852 101392616 157148368 164763001 173537362 179649704 202785232 329526002 347074724 359299408 659052004 694149448 1127992853 1318104008 1388298896 2255985706 2636208016 4511971412 9023942824 14663907089 18047885648 29327814178 58655628356 117311256712 234622513424