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212808504900 = 223521017023383
BaseRepresentation
bin1100011000110001100…
…0000001011001000100
3202100021222202011001210
43012030120001121010
511441312434124100
6241432440451420
721242410305615
oct3061430013104
9670258664053
10212808504900
1182284942542
12352b1179b70
13170b5b23a64
14a42b23dc0c
155807b9bc50
hex318c601644

212808504900 has 72 divisors (see below), whose sum is σ = 621822325824. Its totient is φ = 56187056000.

The previous prime is 212808504859. The next prime is 212808504907. The reversal of 212808504900 is 9405808212.

It is not an unprimeable number, because it can be changed into a prime (212808504907) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3481392 + ... + 3541991.

It is an arithmetic number, because the mean of its divisors is an integer number (8636421192).

Almost surely, 2212808504900 is an apocalyptic number.

212808504900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212808504900 is an abundant number, since it is smaller than the sum of its proper divisors (409013820924).

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

212808504900 is a wasteful number, since it uses less digits than its factorization.

212808504900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7023501 (or 7023494 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 39.

The spelling of 212808504900 in words is "two hundred twelve billion, eight hundred eight million, five hundred four thousand, nine hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 101 150 202 300 303 404 505 606 1010 1212 1515 2020 2525 3030 5050 6060 7575 10100 15150 30300 7023383 14046766 21070149 28093532 35116915 42140298 70233830 84280596 105350745 140467660 175584575 210701490 351169150 421402980 526753725 702338300 709361683 1053507450 1418723366 2107014900 2128085049 2837446732 3546808415 4256170098 7093616830 8512340196 10640425245 14187233660 17734042075 21280850490 35468084150 42561700980 53202126225 70936168300 106404252450 212808504900