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2260010214 = 2337111928607
BaseRepresentation
bin1000011010110101…
…0000010011100110
312211111121102012000
42012231100103212
514112030311324
61012131510130
7110001525030
oct20655202346
95744542160
102260010214
11a5a798140
12530a58346
132a02b3167
1417621cc50
15d36229c9
hex86b504e6

2260010214 has 128 divisors (see below), whose sum is σ = 6591283200. Its totient is φ = 556100640.

The previous prime is 2260010189. The next prime is 2260010219. The reversal of 2260010214 is 4120100622.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2260010219) 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, 64699 + ... + 93305.

It is an arithmetic number, because the mean of its divisors is an integer number (51494400).

Almost surely, 22260010214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2260010214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3295641600).

2260010214 is an abundant number, since it is smaller than the sum of its proper divisors (4331272986).

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

2260010214 is a wasteful number, since it uses less digits than its factorization.

2260010214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28655 (or 28649 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 2260010214 is about 47539.5647224499. The cubic root of 2260010214 is about 1312.3110950984.

Adding to 2260010214 its reverse (4120100622), we get a palindrome (6380110836).

The spelling of 2260010214 in words is "two billion, two hundred sixty million, ten thousand, two hundred fourteen".

Divisors: 1 2 3 6 7 9 11 14 18 19 21 22 27 33 38 42 54 57 63 66 77 99 114 126 133 154 171 189 198 209 231 266 297 342 378 399 418 462 513 594 627 693 798 1026 1197 1254 1386 1463 1881 2079 2394 2926 3591 3762 4158 4389 5643 7182 8778 11286 13167 26334 28607 39501 57214 79002 85821 171642 200249 257463 314677 400498 514926 543533 600747 629354 772389 944031 1087066 1201494 1544778 1630599 1802241 1888062 2202739 2832093 3261198 3604482 3804731 4405478 4891797 5406723 5664186 5978863 6608217 7609462 8496279 9783594 10813446 11414193 11957726 13216434 14675391 16992558 17936589 19824651 22828386 29350782 34242579 35873178 39649302 41852041 53809767 59473953 68485158 83704082 102727737 107619534 118947906 125556123 161429301 205455474 251112246 322858602 376668369 753336738 1130005107 2260010214