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2214350320 = 245713304169
BaseRepresentation
bin1000001111111100…
…0100110111110000
312201022200122120211
42003333010313300
514013333202240
61003421113504
7105605444560
oct20377046760
95638618524
102214350320
11a36a41196
125196b8894
132939b7380
14170134da0
15ce603bea
hex83fc4df0

2214350320 has 80 divisors (see below), whose sum is σ = 6336469440. Its totient is φ = 700803072.

The previous prime is 2214350297. The next prime is 2214350353. The reversal of 2214350320 is 230534122.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 2214350291 and 2214350300.

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 15 ways as a sum of consecutive naturals, for example, 144805 + ... + 159364.

It is an arithmetic number, because the mean of its divisors is an integer number (79205868).

Almost surely, 22214350320 is an apocalyptic number.

2214350320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2214350320 is an abundant number, since it is smaller than the sum of its proper divisors (4122119120).

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

2214350320 is a wasteful number, since it uses less digits than its factorization.

2214350320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304202 (or 304196 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

The square root of 2214350320 is about 47056.8838747319. The cubic root of 2214350320 is about 1303.4131845964.

Adding to 2214350320 its reverse (230534122), we get a palindrome (2444884442).

The spelling of 2214350320 in words is "two billion, two hundred fourteen million, three hundred fifty thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 26 28 35 40 52 56 65 70 80 91 104 112 130 140 182 208 260 280 364 455 520 560 728 910 1040 1456 1820 3640 7280 304169 608338 1216676 1520845 2129183 2433352 3041690 3954197 4258366 4866704 6083380 7908394 8516732 10645915 12166760 15816788 17033464 19770985 21291830 24333520 27679379 31633576 34066928 39541970 42583660 55358758 63267152 79083940 85167320 110717516 138396895 158167880 170334640 221435032 276793790 316335760 442870064 553587580 1107175160 2214350320