Search a number
-
+
2214560240 = 245131211313
BaseRepresentation
bin1000001111111111…
…1000000111110000
312201100002022112122
42003333320013300
514013411411430
61003425413412
7105610310564
oct20377700760
95640068478
102214560240
11a37074982
1251979a268
13293a5ba99
1417018b6a4
15ce645ee5
hex83ff81f0

2214560240 has 40 divisors (see below), whose sum is σ = 5188181328. Its totient is φ = 879057920.

The previous prime is 2214560213. The next prime is 2214560261. The reversal of 2214560240 is 420654122.

It is a tau number, because it is divible by the number of its divisors (40).

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 7 ways as a sum of consecutive naturals, for example, 95177 + ... + 116136.

Almost surely, 22214560240 is an apocalyptic number.

2214560240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2214560240 is an abundant number, since it is smaller than the sum of its proper divisors (2973621088).

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

2214560240 is a wasteful number, since it uses less digits than its factorization.

2214560240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211457 (or 211451 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 26.

The square root of 2214560240 is about 47059.1143138075. The cubic root of 2214560240 is about 1303.4543710710.

The spelling of 2214560240 in words is "two billion, two hundred fourteen million, five hundred sixty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 131 262 524 655 1048 1310 2096 2620 5240 10480 211313 422626 845252 1056565 1690504 2113130 3381008 4226260 8452520 16905040 27682003 55364006 110728012 138410015 221456024 276820030 442912048 553640060 1107280120 2214560240