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1223214022440 = 2332528979117251
BaseRepresentation
bin10001110011001101001…
…111001011111100101000
311022221022212222122011100
4101303031033023330220
5130020120242204230
62333534201401400
7154242245431524
oct21631517137450
94287285878140
101223214022440
11431842476803
12179097a99260
138b46bb00867
14432bd608d84
1521c42bc4660
hex11ccd3cbf28

1223214022440 has 96 divisors (see below), whose sum is σ = 3975616663200. Its totient is φ = 326176368000.

The previous prime is 1223214022439. The next prime is 1223214022447. The reversal of 1223214022440 is 442204123221.

It is a happy number.

1223214022440 is a `hidden beast` number, since 1 + 2 + 2 + 3 + 214 + 0 + 2 + 2 + 440 = 666.

It is a super-3 number, since 3×12232140224403 (a number of 37 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (1223214022447) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10373815 + ... + 10491065.

It is an arithmetic number, because the mean of its divisors is an integer number (41412673575).

Almost surely, 21223214022440 is an apocalyptic number.

1223214022440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1223214022440 is an abundant number, since it is smaller than the sum of its proper divisors (2752402640760).

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

1223214022440 is a wasteful number, since it uses less digits than its factorization.

1223214022440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146247 (or 146240 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 1223214022440 its reverse (442204123221), we get a palindrome (1665418145661).

The spelling of 1223214022440 in words is "one trillion, two hundred twenty-three billion, two hundred fourteen million, twenty-two thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 28979 57958 86937 115916 117251 144895 173874 231832 234502 260811 289790 347748 351753 434685 469004 521622 579580 586255 695496 703506 869370 938008 1043244 1055259 1159160 1172510 1304055 1407012 1738740 1758765 2086488 2110518 2345020 2608110 2814024 3477480 3517530 4221036 4690040 5216220 5276295 7035060 8442072 10432440 10552590 14070120 21105180 42210360 3397816729 6795633458 10193450187 13591266916 16989083645 20386900374 27182533832 30580350561 33978167290 40773800748 50967250935 61160701122 67956334580 81547601496 101934501870 122321402244 135912669160 152901752805 203869003740 244642804488 305803505610 407738007480 611607011220 1223214022440