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2241035220 = 2235211229773
BaseRepresentation
bin1000010110010011…
…0111101111010100
312210011220101101110
42011210313233110
514042201111340
61010213055020
7106351325244
oct20544675724
95704811343
102241035220
11a50007a26
12526627470
1329939b458
141738bdb24
15d1b25680
hex85937bd4

2241035220 has 96 divisors (see below), whose sum is σ = 6340360320. Its totient is φ = 591413760.

The previous prime is 2241035213. The next prime is 2241035239. The reversal of 2241035220 is 225301422.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2898754 + ... + 2899526.

It is an arithmetic number, because the mean of its divisors is an integer number (66045420).

Almost surely, 22241035220 is an apocalyptic number.

2241035220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2241035220 is an abundant number, since it is smaller than the sum of its proper divisors (4099325100).

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

2241035220 is a wasteful number, since it uses less digits than its factorization.

2241035220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1225 (or 1223 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 2241035220 is about 47339.5735088520. The cubic root of 2241035220 is about 1308.6280569172.

Adding to 2241035220 its reverse (225301422), we get a palindrome (2466336642).

It can be divided in two parts, 22410 and 35220, that added together give a triangular number (57630 = T339).

The spelling of 2241035220 in words is "two billion, two hundred forty-one million, thirty-five thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 211 229 422 458 633 687 773 844 916 1055 1145 1266 1374 1546 2110 2290 2319 2532 2748 3092 3165 3435 3865 4220 4580 4638 6330 6870 7730 9276 11595 12660 13740 15460 23190 46380 48319 96638 144957 163103 177017 193276 241595 289914 326206 354034 483190 489309 531051 579828 652412 708068 724785 815515 885085 966380 978618 1062102 1449570 1631030 1770170 1957236 2124204 2446545 2655255 2899140 3262060 3540340 4893090 5310510 9786180 10621020 37350587 74701174 112051761 149402348 186752935 224103522 373505870 448207044 560258805 747011740 1120517610 2241035220