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2203130940 = 2235193122011
BaseRepresentation
bin1000001101010001…
…0001110000111100
312200112120122111020
42003110101300330
514003000142230
61002340424140
7105411206163
oct20324216074
95615518436
102203130940
11a3067897a
125159a8050
1329158979a
1416c8543da
15cd639810
hex83511c3c

2203130940 has 144 divisors (see below), whose sum is σ = 6712997760. Its totient is φ = 538358400.

The previous prime is 2203130893. The next prime is 2203130987. The reversal of 2203130940 is 490313022.

It is an interprime number because it is at equal distance from previous prime (2203130893) and next prime (2203130987).

It is a self number, because there is not a number n which added to its sum of digits gives 2203130940.

It is a congruent number.

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, 1094535 + ... + 1096545.

It is an arithmetic number, because the mean of its divisors is an integer number (46618040).

Almost surely, 22203130940 is an apocalyptic number.

2203130940 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 2203130940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3356498880).

2203130940 is an abundant number, since it is smaller than the sum of its proper divisors (4509866820).

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

2203130940 is a wasteful number, since it uses less digits than its factorization.

2203130940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2104 (or 2071 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 2203130940 is about 46937.5216644424. The cubic root of 2203130940 is about 1301.2081352727.

Adding to 2203130940 its reverse (490313022), we get a palindrome (2693443962).

The spelling of 2203130940 in words is "two billion, two hundred three million, one hundred thirty thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 31 38 57 60 62 76 93 95 114 124 155 186 190 228 285 310 372 380 465 570 589 620 930 961 1140 1178 1767 1860 1922 2011 2356 2883 2945 3534 3844 4022 4805 5766 5890 6033 7068 8044 8835 9610 10055 11532 11780 12066 14415 17670 18259 19220 20110 24132 28830 30165 35340 36518 38209 40220 54777 57660 60330 62341 73036 76418 91295 109554 114627 120660 124682 152836 182590 187023 191045 219108 229254 249364 273885 311705 365180 374046 382090 458508 547770 573135 623410 748092 764180 935115 1095540 1146270 1184479 1246820 1870230 1932571 2292540 2368958 3553437 3740460 3865142 4737916 5797713 5922395 7106874 7730284 9662855 11595426 11844790 14213748 17767185 19325710 23190852 23689580 28988565 35534370 36718849 38651420 57977130 71068740 73437698 110156547 115954260 146875396 183594245 220313094 367188490 440626188 550782735 734376980 1101565470 2203130940