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223072123540 = 225717223239713
BaseRepresentation
bin1100111111000000100…
…0100111101010010100
3210022210021112222222111
43033300020213222110
512123322430423130
6250251121440404
722054635523210
oct3176010475224
9708707488874
10223072123540
11866714420a2
12372964a0104
1318060311596
14ab223c5940
155c08c7e02a
hex33f0227a94

223072123540 has 144 divisors (see below), whose sum is σ = 593447484672. Its totient is φ = 68852957184.

The previous prime is 223072123531. The next prime is 223072123567. The reversal of 223072123540 is 45321270322.

It is a super-3 number, since 3×2230721235403 (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 810724 + ... + 1050436.

It is an arithmetic number, because the mean of its divisors is an integer number (4121163088).

Almost surely, 2223072123540 is an apocalyptic number.

223072123540 is a gapful number since it is divisible by the number (20) 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 223072123540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296723742336).

223072123540 is an abundant number, since it is smaller than the sum of its proper divisors (370375361132).

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

223072123540 is a wasteful number, since it uses less digits than its factorization.

223072123540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239786 (or 239767 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 31.

Adding to 223072123540 its reverse (45321270322), we get a palindrome (268393393862).

The spelling of 223072123540 in words is "two hundred twenty-three billion, seventy-two million, one hundred twenty-three thousand, five hundred forty".

Divisors: 1 2 4 5 7 10 14 17 20 23 28 34 35 46 68 70 85 92 115 119 140 161 170 230 238 289 322 340 391 460 476 578 595 644 782 805 1156 1190 1445 1564 1610 1955 2023 2380 2737 2890 3220 3910 4046 5474 5780 6647 7820 8092 10115 10948 13294 13685 20230 26588 27370 33235 40460 46529 54740 66470 93058 132940 186116 232645 239713 465290 479426 930580 958852 1198565 1677991 2397130 3355982 4075121 4794260 5513399 6711964 8150242 8389955 11026798 16300484 16779910 20375605 22053596 27566995 28525847 33559820 38593793 40751210 55133990 57051694 69277057 77187586 81502420 93727783 110267980 114103388 138554114 142629235 154375172 187455566 192968965 277108228 285258470 346385285 374911132 385937930 468638915 484939399 570516940 656094481 692770570 771875860 937277830 969878798 1312188962 1385541140 1593372311 1874555660 1939757596 2424696995 2624377924 3186744622 3280472405 4849393990 6373489244 6560944810 7966861555 9698787980 11153606177 13121889620 15933723110 22307212354 31867446220 44614424708 55768030885 111536061770 223072123540