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1223222145520 = 245431736593119
BaseRepresentation
bin10001110011001101101…
…110001011000111110000
311022221100110021022221011
4101303031232023013300
5130020124332124040
62333535051440304
7154242404453134
oct21631556130760
94287313238834
101223222145520
114318470147a1
1217909a756094
138b4706b600b
14432c07213c4
1521c4377b3ea
hex11ccdb8b1f0

1223222145520 has 160 divisors (see below), whose sum is σ = 2932333747200. Its totient is φ = 474274440192.

The previous prime is 1223222145511. The next prime is 1223222145521. The reversal of 1223222145520 is 255412223221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1223222145521) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 392182521 + ... + 392185639.

It is an arithmetic number, because the mean of its divisors is an integer number (18327085920).

Almost surely, 21223222145520 is an apocalyptic number.

1223222145520 is a gapful number since it is divisible by the number (10) 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 1223222145520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1466166873600).

1223222145520 is an abundant number, since it is smaller than the sum of its proper divisors (1709111601680).

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

1223222145520 is a wasteful number, since it uses less digits than its factorization.

1223222145520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4007 (or 4001 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 31.

Adding to 1223222145520 its reverse (255412223221), we get a palindrome (1478634368741).

The spelling of 1223222145520 in words is "one trillion, two hundred twenty-three billion, two hundred twenty-two million, one hundred forty-five thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 43 80 86 172 173 215 344 346 430 659 688 692 860 865 1318 1384 1720 1730 2636 2768 3119 3295 3440 3460 5272 6238 6590 6920 7439 10544 12476 13180 13840 14878 15595 24952 26360 28337 29756 31190 37195 49904 52720 56674 59512 62380 74390 113348 114007 119024 124760 134117 141685 148780 226696 228014 249520 268234 283370 297560 453392 456028 536468 539587 566740 570035 595120 670585 912056 1072936 1079174 1133480 1140070 1341170 1824112 2055421 2145872 2158348 2266960 2280140 2682340 2697935 4110842 4316696 4560280 4902301 5364680 5395870 8221684 8633392 9120560 9804602 10277105 10729360 10791740 16443368 19609204 20554210 21583480 23202241 24511505 32886736 39218408 41108420 43166960 46404482 49023010 78436816 82216840 88383103 92808964 98046020 116011205 164433680 176766206 185617928 196092040 232022410 353532412 355587833 371235856 392184080 441915515 464044820 707064824 711175666 883831030 928089640 1414129648 1422351332 1767662060 1777939165 1856179280 2844702664 3535324120 3555878330 5689405328 7070648240 7111756660 14223513320 15290276819 28447026640 30580553638 61161107276 76451384095 122322214552 152902768190 244644429104 305805536380 611611072760 1223222145520