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212885868800 = 2852113023947
BaseRepresentation
bin1100011001000011111…
…1001001000100000000
3202100111101022122101102
43012100333021010000
511441442240300200
6241444242553532
721244340012423
oct3062077110400
9670441278342
10212885868800
1182314583150
12353130688a8
13170c8b70307
14a43761b9ba
15580e87e6d5
hex3190fc9100

212885868800 has 108 divisors (see below), whose sum is σ = 574828323216. Its totient is φ = 77413017600.

The previous prime is 212885868799. The next prime is 212885868803. The reversal of 212885868800 is 8868588212.

It is a Smith number, since the sum of its digits (56) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (212885868803) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1441574 + ... + 1582373.

Almost surely, 2212885868800 is an apocalyptic number.

212885868800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212885868800 is an abundant number, since it is smaller than the sum of its proper divisors (361942454416).

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

212885868800 is a wasteful number, since it uses less digits than its factorization.

212885868800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3023984 (or 3023965 counting only the distinct ones).

The product of its (nonzero) digits is 3932160, while the sum is 56.

The spelling of 212885868800 in words is "two hundred twelve billion, eight hundred eighty-five million, eight hundred sixty-eight thousand, eight hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 64 80 88 100 110 128 160 176 200 220 256 275 320 352 400 440 550 640 704 800 880 1100 1280 1408 1600 1760 2200 2816 3200 3520 4400 6400 7040 8800 14080 17600 35200 70400 3023947 6047894 12095788 15119735 24191576 30239470 33263417 48383152 60478940 66526834 75598675 96766304 120957880 133053668 151197350 166317085 193532608 241915760 266107336 302394700 332634170 387065216 483831520 532214672 604789400 665268340 774130432 831585425 967663040 1064429344 1209578800 1330536680 1663170850 1935326080 2128858688 2419157600 2661073360 3326341700 3870652160 4257717376 4838315200 5322146720 6652683400 8515434752 9676630400 10644293440 13305366800 19353260800 21288586880 26610733600 42577173760 53221467200 106442934400 212885868800