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2214045240 = 23351110116607
BaseRepresentation
bin1000001111110111…
…1010011000111000
312201022010011002120
42003331322120320
514013243421430
61003410401240
7105603034251
oct20375723070
95638104076
102214045240
11a36852a60
12519590220
1329390b554
14170095b28
15ce593610
hex83f7a638

2214045240 has 128 divisors (see below), whose sum is σ = 7318149120. Its totient is φ = 531392000.

The previous prime is 2214045221. The next prime is 2214045271. The reversal of 2214045240 is 425404122.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2214045240.

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, 125017 + ... + 141623.

It is an arithmetic number, because the mean of its divisors is an integer number (57173040).

Almost surely, 22214045240 is an apocalyptic number.

2214045240 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 2214045240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3659074560).

2214045240 is an abundant number, since it is smaller than the sum of its proper divisors (5104103880).

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

2214045240 is a wasteful number, since it uses less digits than its factorization.

2214045240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16733 (or 16729 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 24.

The square root of 2214045240 is about 47053.6421544603. The cubic root of 2214045240 is about 1303.3533230117.

Adding to 2214045240 its reverse (425404122), we get a palindrome (2639449362).

The spelling of 2214045240 in words is "two billion, two hundred fourteen million, forty-five thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 101 110 120 132 165 202 220 264 303 330 404 440 505 606 660 808 1010 1111 1212 1320 1515 2020 2222 2424 3030 3333 4040 4444 5555 6060 6666 8888 11110 12120 13332 16607 16665 22220 26664 33214 33330 44440 49821 66428 66660 83035 99642 132856 133320 166070 182677 199284 249105 332140 365354 398568 498210 548031 664280 730708 913385 996420 1096062 1461416 1677307 1826770 1992840 2192124 2740155 3354614 3653540 4384248 5031921 5480310 6709228 7307080 8386535 10063842 10960620 13418456 16773070 18450377 20127684 21921240 25159605 33546140 36900754 40255368 50319210 55351131 67092280 73801508 92251885 100638420 110702262 147603016 184503770 201276840 221404524 276755655 369007540 442809048 553511310 738015080 1107022620 2214045240