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212213453040 = 2433598246969
BaseRepresentation
bin1100010110100011101…
…0000101000011110000
3202021202112001101101000
43011220322011003300
511434103120444130
6241253422442000
721221563405551
oct3055072050360
9667675041330
10212213453040
1181aa9a64246
1235165a33300
131701c76b474
14a3b21c4328
1557c080a260
hex3168e850f0

212213453040 has 80 divisors (see below), whose sum is σ = 730957456800. Its totient is φ = 56590253568.

The previous prime is 212213453003. The next prime is 212213453113. The reversal of 212213453040 is 40354312212.

212213453040 is a `hidden beast` number, since 2 + 12 + 2 + 1 + 345 + 304 + 0 = 666.

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

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 = 212213452995 and 212213453013.

It is a congruent number.

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, 49121325 + ... + 49125644.

It is an arithmetic number, because the mean of its divisors is an integer number (9136968210).

Almost surely, 2212213453040 is an apocalyptic number.

212213453040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212213453040 is an abundant number, since it is smaller than the sum of its proper divisors (518744003760).

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

212213453040 is a wasteful number, since it uses less digits than its factorization.

212213453040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98246991 (or 98246979 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 212213453040 its reverse (40354312212), we get a palindrome (252567765252).

The spelling of 212213453040 in words is "two hundred twelve billion, two hundred thirteen million, four hundred fifty-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 432 540 720 1080 2160 98246969 196493938 294740907 392987876 491234845 589481814 785975752 884222721 982469690 1178963628 1473704535 1571951504 1768445442 1964939380 2357927256 2652668163 2947409070 3536890884 3929878760 4421113605 4715854512 5305336326 5894818140 7073781768 7859757520 8842227210 10610672652 11789636280 13263340815 14147563536 17684454420 21221345304 23579272560 26526681630 35368908840 42442690608 53053363260 70737817680 106106726520 212213453040