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2241202140 = 22325174317033
BaseRepresentation
bin1000010110010110…
…0000011111011100
312210012012212100200
42011211200133130
514042221432030
61010220423500
7106352622012
oct20545403734
95705185320
102241202140
11a50111381
125266a7b90
13299429418
141739248b2
15d1b59d60
hex859607dc

2241202140 has 144 divisors (see below), whose sum is σ = 7366046688. Its totient is φ = 549384192.

The previous prime is 2241202091. The next prime is 2241202151. The reversal of 2241202140 is 412021422.

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

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, 123064 + ... + 140096.

It is an arithmetic number, because the mean of its divisors is an integer number (51153102).

Almost surely, 22241202140 is an apocalyptic number.

2241202140 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 2241202140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3683023344).

2241202140 is an abundant number, since it is smaller than the sum of its proper divisors (5124844548).

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

2241202140 is a wasteful number, since it uses less digits than its factorization.

2241202140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17108 (or 17103 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 2241202140 is about 47341.3364830356. The cubic root of 2241202140 is about 1308.6605464813.

Adding to 2241202140 its reverse (412021422), we get a palindrome (2653223562).

It can be divided in two parts, 2 and 241202140, that added together give a palindrome (241202142).

The spelling of 2241202140 in words is "two billion, two hundred forty-one million, two hundred two thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 43 45 51 60 68 85 86 90 102 129 153 170 172 180 204 215 255 258 306 340 387 430 510 516 612 645 731 765 774 860 1020 1290 1462 1530 1548 1935 2193 2580 2924 3060 3655 3870 4386 6579 7310 7740 8772 10965 13158 14620 17033 21930 26316 32895 34066 43860 51099 65790 68132 85165 102198 131580 153297 170330 204396 255495 289561 306594 340660 510990 579122 613188 732419 766485 868683 1021980 1158244 1447805 1464838 1532970 1737366 2197257 2606049 2895610 2929676 3065940 3474732 3662095 4343415 4394514 5212098 5791220 6591771 7324190 8686830 8789028 10424196 10986285 12451123 13030245 13183542 14648380 17373660 21972570 24902246 26060490 26367084 32958855 37353369 43945140 49804492 52120980 62255615 65917710 74706738 112060107 124511230 131835420 149413476 186766845 224120214 249022460 373533690 448240428 560300535 747067380 1120601070 2241202140