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212020384 = 2547612311
BaseRepresentation
bin11001010001100…
…10110010100000
3112202221202021211
430220302302200
5413234123014
633012155504
75153100142
oct1450626240
9482852254
10212020384
11a9753064
125b008b94
1334c05664
1420230c92
1513930cc4
hexca32ca0

212020384 has 48 divisors (see below), whose sum is σ = 433472256. Its totient is φ = 102009600.

The previous prime is 212020357. The next prime is 212020399. The reversal of 212020384 is 483020212.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 90589 + ... + 92899.

It is an arithmetic number, because the mean of its divisors is an integer number (9030672).

Almost surely, 2212020384 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212020384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216736128).

212020384 is an abundant number, since it is smaller than the sum of its proper divisors (221451872).

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

212020384 is a wasteful number, since it uses less digits than its factorization.

212020384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2429 (or 2421 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 212020384 is about 14560.9197511696. The cubic root of 212020384 is about 596.2923059053.

Adding to 212020384 its reverse (483020212), we get a palindrome (695040596).

The spelling of 212020384 in words is "two hundred twelve million, twenty thousand, three hundred eighty-four".

Divisors: 1 2 4 8 16 32 47 61 94 122 188 244 376 488 752 976 1504 1952 2311 2867 4622 5734 9244 11468 18488 22936 36976 45872 73952 91744 108617 140971 217234 281942 434468 563884 868936 1127768 1737872 2255536 3475744 4511072 6625637 13251274 26502548 53005096 106010192 212020384