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218285770000 = 245421828577
BaseRepresentation
bin1100101101001011011…
…0001000010100010000
3202212102201012001021011
43023102312020110100
512034022124120000
6244140141340304
721525216300544
oct3132266102420
9685381161234
10218285770000
1184635698911
123637b567694
131777980751c
14a7ca859a24
155a2897a2ba
hex32d2d88510

218285770000 has 50 divisors (see below), whose sum is σ = 528491701958. Its totient is φ = 87314304000.

The previous prime is 218285769979. The next prime is 218285770007. The reversal of 218285770000 is 77582812.

218285770000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 5 ways, for example, as 65210772496 + 153074997504 = 255364^2 + 391248^2 .

It is a tau number, because it is divible by the number of its divisors (50).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (218285770007) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 10904289 + ... + 10924288.

Almost surely, 2218285770000 is an apocalyptic number.

218285770000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

218285770000 is an abundant number, since it is smaller than the sum of its proper divisors (310205931958).

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

218285770000 is an equidigital number, since it uses as much as digits as its factorization.

218285770000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21828605 (or 21828584 counting only the distinct ones).

The product of its (nonzero) digits is 62720, while the sum is 40.

The spelling of 218285770000 in words is "two hundred eighteen billion, two hundred eighty-five million, seven hundred seventy thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1250 2000 2500 5000 10000 21828577 43657154 87314308 109142885 174628616 218285770 349257232 436571540 545714425 873143080 1091428850 1746286160 2182857700 2728572125 4365715400 5457144250 8731430800 10914288500 13642860625 21828577000 27285721250 43657154000 54571442500 109142885000 218285770000