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214220310320 = 2459371285749
BaseRepresentation
bin1100011110000010000…
…1101000011100110000
3202110221101022022000102
43013200201220130300
512002210344412240
6242224512411532
721322402410452
oct3074041503460
9673841268012
10214220310320
1182939864885
1235625b46ba8
131727c476a93
14a5229462d2
15588bac4815
hex31e0868730

214220310320 has 40 divisors (see below), whose sum is σ = 498117114000. Its totient is φ = 85678680320.

The previous prime is 214220310307. The next prime is 214220310347. The reversal of 214220310320 is 23013022412.

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

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 214220310292 and 214220310301.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 606806 + ... + 892554.

It is an arithmetic number, because the mean of its divisors is an integer number (12452927850).

Almost surely, 2214220310320 is an apocalyptic number.

214220310320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214220310320 is an abundant number, since it is smaller than the sum of its proper divisors (283896803680).

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

214220310320 is a wasteful number, since it uses less digits than its factorization.

214220310320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295133 (or 295127 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 214220310320 its reverse (23013022412), we get a palindrome (237233332732).

The spelling of 214220310320 in words is "two hundred fourteen billion, two hundred twenty million, three hundred ten thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 9371 18742 37484 46855 74968 93710 149936 187420 285749 374840 571498 749680 1142996 1428745 2285992 2857490 4571984 5714980 11429960 22859920 2677753879 5355507758 10711015516 13388769395 21422031032 26777538790 42844062064 53555077580 107110155160 214220310320