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2240105274 = 2331141591559
BaseRepresentation
bin1000010110000101…
…0100101100111010
312210010011010202000
42011201110230322
514041431332044
61010141121430
7106340403111
oct20541245472
95703133660
102240105274
11a4a532280
12526259276
132991340a4
1417371ac78
15d19ded69
hex85854b3a

2240105274 has 128 divisors (see below), whose sum is σ = 5660928000. Its totient is φ = 650620800.

The previous prime is 2240105239. The next prime is 2240105279. The reversal of 2240105274 is 4725010422.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (2240105279) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1436107 + ... + 1437665.

It is an arithmetic number, because the mean of its divisors is an integer number (44226000).

Almost surely, 22240105274 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2240105274, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2830464000).

2240105274 is an abundant number, since it is smaller than the sum of its proper divisors (3420822726).

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

2240105274 is a wasteful number, since it uses less digits than its factorization.

2240105274 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1681 (or 1675 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 27.

The square root of 2240105274 is about 47329.7504113428. The cubic root of 2240105274 is about 1308.4470212683.

Adding to 2240105274 its reverse (4725010422), we get a palindrome (6965115696).

The spelling of 2240105274 in words is "two billion, two hundred forty million, one hundred five thousand, two hundred seventy-four".

Divisors: 1 2 3 6 9 11 18 22 27 33 41 54 59 66 82 99 118 123 177 198 246 297 354 369 451 531 594 649 738 902 1062 1107 1298 1353 1559 1593 1947 2214 2419 2706 3118 3186 3894 4059 4677 4838 5841 7257 8118 9354 11682 12177 14031 14514 17149 17523 21771 24354 26609 28062 34298 35046 42093 43542 51447 53218 63919 65313 79827 84186 91981 102894 127838 130626 154341 159654 183962 191757 239481 275943 308682 383514 463023 478962 551886 575271 703109 718443 827829 926046 1011791 1150542 1406218 1436886 1655658 1725813 2023582 2109327 2483487 3035373 3451626 3771221 4218654 4966974 6070746 6327981 7542442 9106119 11313663 12655962 18212238 18983943 22627326 27318357 33940989 37967886 41483431 54636714 67881978 82966862 101822967 124450293 203645934 248900586 373350879 746701758 1120052637 2240105274