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2214114102320 = 245661138130319
BaseRepresentation
bin100000001110000011011…
…111000000110000110000
321211200000102022012222212
4200032003133000300300
5242234001202233240
64413052221151252
7315651545226311
oct40160337006060
97750012265885
102214114102320
11784000763a5a
122b913a3bb528
13130a36a02a83
147924126a608
153c8da5c3165
hex203837c0c30

2214114102320 has 80 divisors (see below), whose sum is σ = 5159506615680. Its totient is φ = 883636300800.

The previous prime is 2214114102311. The next prime is 2214114102341. The reversal of 2214114102320 is 232014114122.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 73012121 + ... + 73042439.

It is an arithmetic number, because the mean of its divisors is an integer number (64493832696).

Almost surely, 22214114102320 is an apocalyptic number.

2214114102320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2214114102320 is an abundant number, since it is smaller than the sum of its proper divisors (2945392513360).

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

2214114102320 is a wasteful number, since it uses less digits than its factorization.

2214114102320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32374 (or 32368 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

Adding to 2214114102320 its reverse (232014114122), we get a palindrome (2446128216442).

The spelling of 2214114102320 in words is "two trillion, two hundred fourteen billion, one hundred fourteen million, one hundred two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 661 1322 1381 2644 2762 3305 5288 5524 6610 6905 10576 11048 13220 13810 22096 26440 27620 30319 52880 55240 60638 110480 121276 151595 242552 303190 485104 606380 912841 1212760 1825682 2425520 3651364 4564205 7302728 9128410 14605456 18256820 20040859 36513640 40081718 41870539 73027280 80163436 83741078 100204295 160326872 167482156 200408590 209352695 320653744 334964312 400817180 418705390 669928624 801634360 837410780 1603268720 1674821560 3349643120 27676426279 55352852558 110705705116 138382131395 221411410232 276764262790 442822820464 553528525580 1107057051160 2214114102320