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2231141100 = 2235229317809
BaseRepresentation
bin1000010011111100…
…1000001011101100
312202111021201012120
42010333020023230
514032133003400
61005221032540
7106201246356
oct20477101354
95674251176
102231141100
11a4546a371
12523255750
13297315b46
141724660d6
15d0d1dca0
hex84fc82ec

2231141100 has 144 divisors (see below), whose sum is σ = 6707383200. Its totient is φ = 571934720.

The previous prime is 2231141069. The next prime is 2231141113. The reversal of 2231141100 is 11411322.

It is a super-3 number, since 3×22311411003 (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2231141100.

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, 2757496 + ... + 2758304.

It is an arithmetic number, because the mean of its divisors is an integer number (46579050).

Almost surely, 22231141100 is an apocalyptic number.

2231141100 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 2231141100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3353691600).

2231141100 is an abundant number, since it is smaller than the sum of its proper divisors (4476242100).

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

2231141100 is a wasteful number, since it uses less digits than its factorization.

2231141100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1172 (or 1165 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 2231141100 is about 47234.9563353244. The cubic root of 2231141100 is about 1306.6993612822.

Adding to 2231141100 its reverse (11411322), we get a palindrome (2242552422).

The spelling of 2231141100 in words is "two billion, two hundred thirty-one million, one hundred forty-one thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 29 30 50 58 60 75 87 100 116 145 150 174 290 300 317 348 435 580 634 725 809 870 951 1268 1450 1585 1618 1740 1902 2175 2427 2900 3170 3236 3804 4045 4350 4755 4854 6340 7925 8090 8700 9193 9510 9708 12135 15850 16180 18386 19020 20225 23461 23775 24270 27579 31700 36772 40450 45965 46922 47550 48540 55158 60675 70383 80900 91930 93844 95100 110316 117305 121350 137895 140766 183860 229825 234610 242700 256453 275790 281532 351915 459650 469220 512906 551580 586525 689475 703830 769359 919300 1025812 1173050 1282265 1378950 1407660 1538718 1759575 2346100 2564530 2757900 3077436 3519150 3846795 5129060 6411325 7038300 7437137 7693590 12822650 14874274 15387180 19233975 22311411 25645300 29748548 37185685 38467950 44622822 74371370 76935900 89245644 111557055 148742740 185928425 223114110 371856850 446228220 557785275 743713700 1115570550 2231141100