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212939844 = 2231310712757
BaseRepresentation
bin11001011000100…
…11010001000100
3112211200110112220
430230103101010
5414003033334
633044012340
75163646605
oct1454232104
9484613486
10212939844
11aa220947
125b3910b0
1335168010
14203cddac
1513a63449
hexcb13444

212939844 has 48 divisors (see below), whose sum is σ = 540122688. Its totient is φ = 64902528.

The previous prime is 212939813. The next prime is 212939879. The reversal of 212939844 is 448939212.

It is a junction number, because it is equal to n+sod(n) for n = 212939796 and 212939805.

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 15 ways as a sum of consecutive naturals, for example, 10314 + ... + 23070.

It is an arithmetic number, because the mean of its divisors is an integer number (11252556).

Almost surely, 2212939844 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 212939844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270061344).

212939844 is an abundant number, since it is smaller than the sum of its proper divisors (327182844).

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

212939844 is a wasteful number, since it uses less digits than its factorization.

212939844 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12884 (or 12882 counting only the distinct ones).

The product of its digits is 124416, while the sum is 42.

The square root of 212939844 is about 14592.4584631926. The cubic root of 212939844 is about 597.1530349044.

The spelling of 212939844 in words is "two hundred twelve million, nine hundred thirty-nine thousand, eight hundred forty-four".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 107 156 214 321 428 642 1284 1391 2782 4173 5564 8346 12757 16692 25514 38271 51028 76542 153084 165841 331682 497523 663364 995046 1364999 1990092 2729998 4094997 5459996 8189994 16379988 17744987 35489974 53234961 70979948 106469922 212939844