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214241234220 = 2232513569160907
BaseRepresentation
bin1100011110000111000…
…1011100110100101100
3202110222211200100012200
43013201301130310230
512002231223443340
6242230541101500
721323045305206
oct3074161346454
9673884610180
10214241234220
118294a656262
1235630b57890
13172838c18a0
14a525631776
15588d859330
hex31e1c5cd2c

214241234220 has 144 divisors (see below), whose sum is σ = 701089028640. Its totient is φ = 52643294208.

The previous prime is 214241234209. The next prime is 214241234287. The reversal of 214241234220 is 22432142412.

It is a happy number.

214241234220 is a `hidden beast` number, since 2 + 1 + 424 + 1 + 234 + 2 + 2 + 0 = 666.

214241234220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1251007 + ... + 1411913.

It is an arithmetic number, because the mean of its divisors is an integer number (4868673810).

Almost surely, 2214241234220 is an apocalyptic number.

214241234220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214241234220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350544514320).

214241234220 is an abundant number, since it is smaller than the sum of its proper divisors (486847794420).

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

214241234220 is a wasteful number, since it uses less digits than its factorization.

214241234220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161504 (or 161499 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 214241234220 its reverse (22432142412), we get a palindrome (236673376632).

The spelling of 214241234220 in words is "two hundred fourteen billion, two hundred forty-one million, two hundred thirty-four thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 390 468 569 585 780 1138 1170 1707 2276 2340 2845 3414 5121 5690 6828 7397 8535 10242 11380 14794 17070 20484 22191 25605 29588 34140 36985 44382 51210 66573 73970 88764 102420 110955 133146 147940 160907 221910 266292 321814 332865 443820 482721 643628 665730 804535 965442 1331460 1448163 1609070 1930884 2091791 2413605 2896326 3218140 4183582 4827210 5792652 6275373 7240815 8367164 9654420 10458955 12550746 14481630 18826119 20917910 25101492 28963260 31376865 37652238 41835820 62753730 75304476 91556083 94130595 125507460 183112166 188261190 274668249 366224332 376522380 457780415 549336498 824004747 915560830 1098672996 1190229079 1373341245 1648009494 1831121660 2380458158 2746682490 3296018988 3570687237 4120023735 4760916316 5493364980 5951145395 7141374474 8240047470 10712061711 11902290790 14282748948 16480094940 17853436185 21424123422 23804581580 35706872370 42848246844 53560308555 71413744740 107120617110 214241234220