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212442316000 = 255353110579
BaseRepresentation
bin1100010111011010001…
…1000111110011100000
3202022100110200211022221
43011312203013303200
511440040213103000
6241332240040424
721230342614525
oct3056643076340
9668313624287
10212442316000
1182107170392
123520a603114
1317057cc0035
14a3d475b14c
1557d596661a
hex31768c7ce0

212442316000 has 48 divisors (see below), whose sum is σ = 521970780240. Its totient is φ = 84976924800.

The previous prime is 212442315977. The next prime is 212442316001. The reversal of 212442316000 is 613244212.

It is a happy number.

212442316000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212442316001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26551290 + ... + 26559289.

It is an arithmetic number, because the mean of its divisors is an integer number (10874391255).

Almost surely, 2212442316000 is an apocalyptic number.

212442316000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212442316000 is an abundant number, since it is smaller than the sum of its proper divisors (309528464240).

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

212442316000 is an equidigital number, since it uses as much as digits as its factorization.

212442316000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53110604 (or 53110586 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

The spelling of 212442316000 in words is "two hundred twelve billion, four hundred forty-two million, three hundred sixteen thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 800 1000 2000 4000 53110579 106221158 212442316 265552895 424884632 531105790 849769264 1062211580 1327764475 1699538528 2124423160 2655528950 4248846320 5311057900 6638822375 8497692640 10622115800 13277644750 21244231600 26555289500 42488463200 53110579000 106221158000 212442316000