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223212242212323 = 37131967642283787
BaseRepresentation
bin110010110000001010100110…
…011010000001010111100011
31002021022212210221112100100220
4302300022212122001113203
5213224102133001243243
62110422142150214123
765005360305542610
oct6260124632012743
91067285727470326
10223212242212323
1165138864663601
1221050040354343
139771a937a02a0
143d1975cac7507
151ac13e1755783
hexcb02a66815e3

223212242212323 has 64 divisors (see below), whose sum is σ = 391330666352640. Its totient is φ = 109876771838592.

The previous prime is 223212242212283. The next prime is 223212242212357. The reversal of 223212242212323 is 323212242212322.

It is not a de Polignac number, because 223212242212323 - 28 = 223212242212067 is a prime.

It is a super-3 number, since 3×2232122422123233 (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (223212242212523) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 320794365 + ... + 321489422.

It is an arithmetic number, because the mean of its divisors is an integer number (6114541661760).

Almost surely, 2223212242212323 is an apocalyptic number.

223212242212323 is a deficient number, since it is larger than the sum of its proper divisors (168118424140317).

223212242212323 is a wasteful number, since it uses less digits than its factorization.

223212242212323 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 642283896.

The product of its digits is 55296, while the sum is 33.

Adding to 223212242212323 its reverse (323212242212322), we get a palindrome (546424484424645).

Subtracting 223212242212323 from its reverse (323212242212322), we obtain a palindrome (99999999999999).

The spelling of 223212242212323 in words is "two hundred twenty-three trillion, two hundred twelve billion, two hundred forty-two million, two hundred twelve thousand, three hundred twenty-three".

Divisors: 1 3 7 13 19 21 39 57 67 91 133 201 247 273 399 469 741 871 1273 1407 1729 2613 3819 5187 6097 8911 16549 18291 26733 49647 115843 347529 642283787 1926851361 4495986509 8349689231 12203391953 13487959527 25049067693 36610175859 43033013729 58447824617 85423743671 129099041187 158644095389 175343473851 256271231013 301231096103 475932286167 559429178477 817627260851 903693288309 1110508667723 1678287535431 2452881782553 3331526003169 3916004249339 5723390825957 10629154391063 11748012748017 17170172477871 31887463173189 74404080737441 223212242212323