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212224403000 = 23531061200023
BaseRepresentation
bin1100010110100110001…
…1110110011000111000
3202021210021122200220002
43011221203312120320
511434113421344000
6241254453252132
721222055442621
oct3055143663070
9667707580802
10212224403000
11820051630a5
1235169634048
1317021b0352c
14a3b3834a48
1557c176e8d5
hex31698f6638

212224403000 has 64 divisors (see below), whose sum is σ = 497075641920. Its totient is φ = 84809328000.

The previous prime is 212224402997. The next prime is 212224403023. The reversal of 212224403000 is 304422212.

212224403000 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 (20).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 960989 + ... + 1161011.

It is an arithmetic number, because the mean of its divisors is an integer number (7766806905).

Almost surely, 2212224403000 is an apocalyptic number.

212224403000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212224403000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248537820960).

212224403000 is an abundant number, since it is smaller than the sum of its proper divisors (284851238920).

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

212224403000 is a wasteful number, since it uses less digits than its factorization.

212224403000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201105 (or 201091 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 212224403000 its reverse (304422212), we get a palindrome (212528825212).

The spelling of 212224403000 in words is "two hundred twelve billion, two hundred twenty-four million, four hundred three thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 1061 2122 4244 5305 8488 10610 21220 26525 42440 53050 106100 132625 200023 212200 265250 400046 530500 800092 1000115 1061000 1600184 2000230 4000460 5000575 8000920 10001150 20002300 25002875 40004600 50005750 100011500 200023000 212224403 424448806 848897612 1061122015 1697795224 2122244030 4244488060 5305610075 8488976120 10611220150 21222440300 26528050375 42444880600 53056100750 106112201500 212224403000