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212224441230 = 2355657113291
BaseRepresentation
bin1100010110100110001…
…1111111101110001110
3202021210021201122100000
43011221203333232032
511434113424104410
6241254454145130
721222055662234
oct3055143775616
9667707648300
10212224441230
118200518989a
12351696521a6
1317021b17a59
14a3b3844954
1557c177adc0
hex31698ffb8e

212224441230 has 96 divisors (see below), whose sum is σ = 572350117248. Its totient is φ = 56580314400.

The previous prime is 212224441223. The next prime is 212224441279. The reversal of 212224441230 is 32144422212.

It is a happy number.

212224441230 is a `hidden beast` number, since 2 + 1 + 2 + 2 + 244 + 412 + 3 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 212224441194 and 212224441203.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15960885 + ... + 15974175.

It is an arithmetic number, because the mean of its divisors is an integer number (5961980388).

Almost surely, 2212224441230 is an apocalyptic number.

212224441230 is an abundant number, since it is smaller than the sum of its proper divisors (360125676018).

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

212224441230 is a wasteful number, since it uses less digits than its factorization.

212224441230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19884 (or 19872 counting only the distinct ones).

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

Adding to 212224441230 its reverse (32144422212), we get a palindrome (244368863442).

The spelling of 212224441230 in words is "two hundred twelve billion, two hundred twenty-four million, four hundred forty-one thousand, two hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 243 270 405 486 810 1215 2430 6571 13142 13291 19713 26582 32855 39426 39873 59139 65710 66455 79746 98565 118278 119619 132910 177417 197130 199365 239238 295695 354834 358857 398730 532251 591390 598095 717714 887085 1064502 1076571 1196190 1596753 1774170 1794285 2153142 2661255 3193506 3229713 3588570 5322510 5382855 6459426 7983765 10765710 15967530 16148565 32297130 87335161 174670322 262005483 436675805 524010966 786016449 873351610 1310027415 1572032898 2358049347 2620054830 3930082245 4716098694 7074148041 7860164490 11790246735 14148296082 21222444123 23580493470 35370740205 42444888246 70741480410 106112220615 212224441230