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230022214320 = 243523100941299
BaseRepresentation
bin1101011000111001100…
…1000111001010110000
3210222201122101012012010
43112032121013022300
512232041141324240
6253400514202520
722422110363433
oct3261631071260
9728648335163
10230022214320
11896085a8178
12386b5b83440
13188ca191532
14b1c146d81a
155eb3eda280
hex358e6472b0

230022214320 has 160 divisors (see below), whose sum is σ = 744827328000. Its totient is φ = 58612764672.

The previous prime is 230022214307. The next prime is 230022214363. The reversal of 230022214320 is 23412220032.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5549031 + ... + 5590329.

It is an arithmetic number, because the mean of its divisors is an integer number (4655170800).

Almost surely, 2230022214320 is an apocalyptic number.

230022214320 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 230022214320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372413664000).

230022214320 is an abundant number, since it is smaller than the sum of its proper divisors (514805113680).

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

230022214320 is a wasteful number, since it uses less digits than its factorization.

230022214320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42347 (or 42341 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

Adding to 230022214320 its reverse (23412220032), we get a palindrome (253434434352).

It can be divided in two parts, 23002 and 2214320, that added together give a palindrome (2237322).

The spelling of 230022214320 in words is "two hundred thirty billion, twenty-two million, two hundred fourteen thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 40 46 48 60 69 80 92 115 120 138 184 230 240 276 345 368 460 552 690 920 1009 1104 1380 1840 2018 2760 3027 4036 5045 5520 6054 8072 10090 12108 15135 16144 20180 23207 24216 30270 40360 41299 46414 48432 60540 69621 80720 82598 92828 116035 121080 123897 139242 165196 185656 206495 232070 242160 247794 278484 330392 348105 371312 412990 464140 495588 556968 619485 660784 696210 825980 928280 949877 991176 1113936 1238970 1392420 1651960 1856560 1899754 1982352 2477940 2784840 2849631 3303920 3799508 4749385 4955880 5569680 5699262 7599016 9498770 9911760 11398524 14248155 15198032 18997540 22797048 28496310 37995080 41670691 45594096 56992620 75990160 83341382 113985240 125012073 166682764 208353455 227970480 250024146 333365528 416706910 500048292 625060365 666731056 833413820 958425893 1000096584 1250120730 1666827640 1916851786 2000193168 2500241460 2875277679 3333655280 3833703572 4792129465 5000482920 5750555358 7667407144 9584258930 10000965840 11501110716 14376388395 15334814288 19168517860 23002221432 28752776790 38337035720 46004442864 57505553580 76674071440 115011107160 230022214320