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2081183940 = 22325113373119
BaseRepresentation
bin111110000001100…
…0101100011000100
312101001010002122200
41330003011203010
513230240341230
6542302554500
7102400525443
oct17403054304
95331102580
102081183940
11978857330
124a0b98a30
132722305b4
1415a58cd5a
15c2a9c160
hex7c0c58c4

2081183940 has 144 divisors (see below), whose sum is σ = 6909477120. Its totient is φ = 502871040.

The previous prime is 2081183939. The next prime is 2081183953. The reversal of 2081183940 is 493811802.

It is a super-2 number, since 2×20811839402 = 8662653184227847200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2081183895 and 2081183904.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 665701 + ... + 668819.

It is an arithmetic number, because the mean of its divisors is an integer number (47982480).

Almost surely, 22081183940 is an apocalyptic number.

2081183940 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 2081183940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3454738560).

2081183940 is an abundant number, since it is smaller than the sum of its proper divisors (4828293180).

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

2081183940 is a wasteful number, since it uses less digits than its factorization.

2081183940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3482 (or 3477 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 2081183940 is about 45619.9949583513. The cubic root of 2081183940 is about 1276.7430094152.

The spelling of 2081183940 in words is "two billion, eighty-one million, one hundred eighty-three thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 337 396 495 660 674 990 1011 1348 1685 1980 2022 3033 3119 3370 3707 4044 5055 6066 6238 6740 7414 9357 10110 11121 12132 12476 14828 15165 15595 18535 18714 20220 22242 28071 30330 31190 33363 34309 37070 37428 44484 46785 55605 56142 60660 62380 66726 68618 74140 93570 102927 111210 112284 133452 137236 140355 166815 171545 187140 205854 222420 280710 308781 333630 343090 411708 514635 561420 617562 667260 686180 1029270 1051103 1235124 1543905 2058540 2102206 3087810 3153309 4204412 5255515 6175620 6306618 9459927 10511030 11562133 12613236 15766545 18919854 21022060 23124266 31533090 34686399 37839708 46248532 47299635 57810665 63066180 69372798 94599270 104059197 115621330 138745596 173431995 189198540 208118394 231242660 346863990 416236788 520295985 693727980 1040591970 2081183940