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2241112890 = 2351719415641
BaseRepresentation
bin1000010110010100…
…1010101100111010
312210012001022221010
42011211022230322
514042211103030
61010214454350
7106352100552
oct20545125472
95705038833
102241112890
11a50060315
125266643b6
132993c7903
14173900162
15d1b3d6b0
hex8594ab3a

2241112890 has 128 divisors (see below), whose sum is σ = 6142106880. Its totient is φ = 519782400.

The previous prime is 2241112877. The next prime is 2241112927. The reversal of 2241112890 is 982111422.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 394470 + ... + 400110.

It is an arithmetic number, because the mean of its divisors is an integer number (47985210).

Almost surely, 22241112890 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2241112890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3071053440).

2241112890 is an abundant number, since it is smaller than the sum of its proper divisors (3900993990).

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

2241112890 is a wasteful number, since it uses less digits than its factorization.

2241112890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5728.

The product of its (nonzero) digits is 2304, while the sum is 30.

The square root of 2241112890 is about 47340.3938513401. The cubic root of 2241112890 is about 1308.6431749255.

The spelling of 2241112890 in words is "two billion, two hundred forty-one million, one hundred twelve thousand, eight hundred ninety".

Divisors: 1 2 3 5 6 10 15 17 19 30 34 38 41 51 57 82 85 95 102 114 123 170 190 205 246 255 285 323 410 510 570 615 646 697 779 969 1230 1394 1558 1615 1938 2091 2337 3230 3485 3895 4182 4674 4845 5641 6970 7790 9690 10455 11282 11685 13243 16923 20910 23370 26486 28205 33846 39729 56410 66215 79458 84615 95897 107179 132430 169230 191794 198645 214358 231281 287691 321537 397290 462562 479485 535895 575382 643074 693843 958970 1071790 1156405 1387686 1438455 1607685 1822043 2312810 2876910 3215370 3469215 3644086 3931777 4394339 5466129 6938430 7863554 8788678 9110215 10932258 11795331 13183017 18220430 19658885 21971695 23590662 26366034 27330645 39317770 43943390 54661290 58976655 65915085 74703763 117953310 131830170 149407526 224111289 373518815 448222578 747037630 1120556445 2241112890