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223222021332012 = 22351386791655999
BaseRepresentation
bin110010110000010011101101…
…010010011001110000101100
31002021100211001110200002200000
4302300103231102121300230
5213224232144430111022
62110430440402504300
765006154531643623
oct6260235522316054
91067324043602600
10223222021332012
1165141a227239aa
1221051b0b365090
1397729917a2441
143d1a0097906ba
151ac17b50326ac
hexcb04ed499c2c

223222021332012 has 72 divisors (see below), whose sum is σ = 585158595840000. Its totient is φ = 74406758968656.

The previous prime is 223222021331999. The next prime is 223222021332031. The reversal of 223222021332012 is 210233120222322.

223222021332012 is a `hidden beast` number, since 2 + 2 + 322 + 2 + 0 + 2 + 1 + 3 + 320 + 12 = 666.

It is a super-3 number, since 3×2232220213320123 (a number of 44 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 133967989 + ... + 135623987.

It is an arithmetic number, because the mean of its divisors is an integer number (8127202720000).

Almost surely, 2223222021332012 is an apocalyptic number.

It is an amenable number.

223222021332012 is an abundant number, since it is smaller than the sum of its proper divisors (361936574507988).

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

223222021332012 is a wasteful number, since it uses less digits than its factorization.

223222021332012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1794697 (or 1794683 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 223222021332012 its reverse (210233120222322), we get a palindrome (433455141554334).

The spelling of 223222021332012 in words is "two hundred twenty-three trillion, two hundred twenty-two billion, twenty-one million, three hundred thirty-two thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 972 138679 277358 416037 554716 832074 1248111 1655999 1664148 2496222 3311998 3744333 4967997 4992444 6623996 7488666 9935994 11232999 14903991 14977332 19871988 22465998 29807982 33698997 44711973 44931996 59615964 67397994 89423946 134135919 134795988 178847892 268271838 402407757 536543676 804815514 1609631028 229652285321 459304570642 688956855963 918609141284 1377913711926 2066870567889 2755827423852 4133741135778 6200611703667 8267482271556 12401223407334 18601835111001 24802446814668 37203670222002 55805505333003 74407340444004 111611010666006 223222021332012