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214320311223000 = 23353233106091467
BaseRepresentation
bin110000101110110001010110…
…000001001100001011011000
31001002211211011222122002000120
4300232301112001030023120
5211042410444133114000
62035453220341433240
763100063051316313
oct6056612601141330
91032754158562016
10214320311223000
116231a808403744
122005486670b820
13927841b046578
143acd23097197a
1519b9e6a8916a0
hexc2ec5604c2d8

214320311223000 has 128 divisors (see below), whose sum is σ = 697752387371520. Its totient is φ = 54667209801600.

The previous prime is 214320311222993. The next prime is 214320311223041. The reversal of 214320311223000 is 322113023412.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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, 1552976734 + ... + 1553114733.

It is an arithmetic number, because the mean of its divisors is an integer number (5451190526340).

Almost surely, 2214320311223000 is an apocalyptic number.

214320311223000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214320311223000 is an abundant number, since it is smaller than the sum of its proper divisors (483432076148520).

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

214320311223000 is a wasteful number, since it uses less digits than its factorization.

214320311223000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3106091514 (or 3106091500 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 214320311223000 its reverse (322113023412), we get a palindrome (214642424246412).

The spelling of 214320311223000 in words is "two hundred fourteen trillion, three hundred twenty billion, three hundred eleven million, two hundred twenty-three thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 25 30 40 46 50 60 69 75 92 100 115 120 125 138 150 184 200 230 250 276 300 345 375 460 500 552 575 600 690 750 920 1000 1150 1380 1500 1725 2300 2760 2875 3000 3450 4600 5750 6900 8625 11500 13800 17250 23000 34500 69000 3106091467 6212182934 9318274401 12424365868 15530457335 18636548802 24848731736 31060914670 37273097604 46591372005 62121829340 71440103741 74546195208 77652286675 93182744010 124243658680 142880207482 155304573350 186365488020 214320311223 232956860025 285760414964 310609146700 357200518705 372730976040 388261433375 428640622446 465913720050 571520829928 621218293400 714401037410 776522866750 857281244892 931827440100 1071601556115 1164784300125 1428802074820 1553045733500 1714562489784 1786002593525 1863654880200 2143203112230 2329568600250 2857604149640 3106091467000 3572005187050 4286406224460 4659137200500 5358007780575 7144010374100 8572812448920 8930012967625 9318274401000 10716015561150 14288020748200 17860025935250 21432031122300 26790038902875 35720051870500 42864062244600 53580077805750 71440103741000 107160155611500 214320311223000