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116303220 = 2232511151389
BaseRepresentation
bin1101110111010…
…10010101110100
322002211211000200
412323222111310
5214233200340
615312440500
72611363305
oct673522564
9262754020
10116303220
115a717370
1232b49130
131b131397
14116367ac
15a325330
hex6eea574

116303220 has 144 divisors (see below), whose sum is σ = 388402560. Its totient is φ = 27936000.

The previous prime is 116303189. The next prime is 116303267. The reversal of 116303220 is 22303611.

116303220 is a `hidden beast` number, since 1 + 1 + 630 + 32 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 116303193 and 116303202.

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, 298786 + ... + 299174.

It is an arithmetic number, because the mean of its divisors is an integer number (2697240).

Almost surely, 2116303220 is an apocalyptic number.

116303220 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 116303220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194201280).

116303220 is an abundant number, since it is smaller than the sum of its proper divisors (272099340).

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

116303220 is a wasteful number, since it uses less digits than its factorization.

116303220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 566 (or 561 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 116303220 is about 10784.3970624231. The cubic root of 116303220 is about 488.1244699519.

Adding to 116303220 its reverse (22303611), we get a palindrome (138606831).

The spelling of 116303220 in words is "one hundred sixteen million, three hundred three thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 151 165 180 198 220 302 330 389 396 453 495 604 660 755 778 906 990 1167 1359 1510 1556 1661 1812 1945 1980 2265 2334 2718 3020 3322 3501 3890 4279 4530 4668 4983 5436 5835 6644 6795 7002 7780 8305 8558 9060 9966 11670 12837 13590 14004 14949 16610 17116 17505 19932 21395 23340 24915 25674 27180 29898 33220 35010 38511 42790 49830 51348 58739 59796 64185 70020 74745 77022 85580 99660 117478 128370 149490 154044 176217 192555 234956 256740 293695 298980 352434 385110 528651 587390 646129 704868 770220 881085 1057302 1174780 1292258 1762170 1938387 2114604 2584516 2643255 3230645 3524340 3876774 5286510 5815161 6461290 7753548 9691935 10573020 11630322 12922580 19383870 23260644 29075805 38767740 58151610 116303220