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214204022120 = 235112691809767
BaseRepresentation
bin1100011101111110001…
…1011111110101101000
3202110220020122202210202
43013133203133311220
512002142212201440
6242223131331332
721322114101134
oct3073743376550
9673806582722
10214204022120
118293064a260
12356205b0b48
1317278c92caa
14a5207063c4
15588a458615
hex31df8dfd68

214204022120 has 64 divisors (see below), whose sum is σ = 527728348800. Its totient is φ = 77602766080.

The previous prime is 214204022101. The next prime is 214204022161. The reversal of 214204022120 is 21220402412.

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 = 214204022092 and 214204022101.

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, 786524 + ... + 1023243.

It is an arithmetic number, because the mean of its divisors is an integer number (8245755450).

Almost surely, 2214204022120 is an apocalyptic number.

214204022120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214204022120 is an abundant number, since it is smaller than the sum of its proper divisors (313524326680).

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

214204022120 is a wasteful number, since it uses less digits than its factorization.

214204022120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1810058 (or 1810054 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 214204022120 its reverse (21220402412), we get a palindrome (235424424532).

The spelling of 214204022120 in words is "two hundred fourteen billion, two hundred four million, twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 269 440 538 1076 1345 2152 2690 2959 5380 5918 10760 11836 14795 23672 29590 59180 118360 1809767 3619534 7239068 9048835 14478136 18097670 19907437 36195340 39814874 72390680 79629748 99537185 159259496 199074370 398148740 486827323 796297480 973654646 1947309292 2434136615 3894618584 4868273230 5355100553 9736546460 10710201106 19473092920 21420402212 26775502765 42840804424 53551005530 107102011060 214204022120