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2214130240 = 26576714753
BaseRepresentation
bin1000001111111000…
…1111001001000000
312201022021110200201
42003332033021000
514013304131430
61003412254544
7105603540130
oct20376171100
95638243621
102214130240
11a36900903
12519611454
1329393b14a
141700b8ac0
15ce5ad8ca
hex83f8f240

2214130240 has 112 divisors (see below), whose sum is σ = 6115946112. Its totient is φ = 747749376.

The previous prime is 2214130199. The next prime is 2214130241. The reversal of 2214130240 is 420314122.

It is a tau number, because it is divible by the number of its divisors (112).

It is not an unprimeable number, because it can be changed into a prime (2214130241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 142704 + ... + 157456.

Almost surely, 22214130240 is an apocalyptic number.

2214130240 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 2214130240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3057973056).

2214130240 is an abundant number, since it is smaller than the sum of its proper divisors (3901815872).

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

2214130240 is a wasteful number, since it uses less digits than its factorization.

2214130240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14844 (or 14834 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 2214130240 is about 47054.5453702403. The cubic root of 2214130240 is about 1303.3700019263.

Adding to 2214130240 its reverse (420314122), we get a palindrome (2634444362).

The spelling of 2214130240 in words is "two billion, two hundred fourteen million, one hundred thirty thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 67 70 80 112 134 140 160 224 268 280 320 335 448 469 536 560 670 938 1072 1120 1340 1876 2144 2240 2345 2680 3752 4288 4690 5360 7504 9380 10720 14753 15008 18760 21440 29506 30016 37520 59012 73765 75040 103271 118024 147530 150080 206542 236048 295060 413084 472096 516355 590120 826168 944192 988451 1032710 1180240 1652336 1976902 2065420 2360480 3304672 3953804 4130840 4720960 4942255 6609344 6919157 7907608 8261680 9884510 13838314 15815216 16523360 19769020 27676628 31630432 33046720 34595785 39538040 55353256 63260864 69191570 79076080 110706512 138383140 158152160 221413024 276766280 316304320 442826048 553532560 1107065120 2214130240