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2128212 = 2232311907
BaseRepresentation
bin1000000111100101010100
311000010100200
420013211110
51021100322
6113340500
724042462
oct10074524
94003320
102128212
111223a59
12867730
135968c8
143d5832
152c08ac
hex207954

2128212 has 36 divisors (see below), whose sum is σ = 5556096. Its totient is φ = 686160.

The previous prime is 2128201. The next prime is 2128241.

It is a happy number.

2128212 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 163 + ... + 2069.

It is an arithmetic number, because the mean of its divisors is an integer number (154336).

22128212 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 2128212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2778048).

2128212 is an abundant number, since it is smaller than the sum of its proper divisors (3427884).

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

2128212 is a wasteful number, since it uses less digits than its factorization.

2128212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1948 (or 1943 counting only the distinct ones).

The product of its digits is 128, while the sum is 18.

The square root of 2128212 is about 1458.8392646210. The cubic root of 2128212 is about 128.6288230525.

The spelling of 2128212 in words is "two million, one hundred twenty-eight thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 31 36 62 93 124 186 279 372 558 1116 1907 3814 5721 7628 11442 17163 22884 34326 59117 68652 118234 177351 236468 354702 532053 709404 1064106 2128212