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2132208 = 2432131767
BaseRepresentation
bin1000001000100011110000
311000022211200
420020203300
51021212313
6113411200
724060231
oct10104360
94008750
102132208
111226a61
12869b00
13598680
143d7088
152c1b73
hex2088f0

2132208 has 120 divisors (see below), whose sum is σ = 6905808. Its totient is φ = 608256.

The previous prime is 2132177. The next prime is 2132209. The reversal of 2132208 is 8022312.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2132209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31791 + ... + 31857.

22132208 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 2132208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3452904).

2132208 is an abundant number, since it is smaller than the sum of its proper divisors (4773600).

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

2132208 is a wasteful number, since it uses less digits than its factorization.

2132208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 2132208 is about 1460.2082043325. The cubic root of 2132208 is about 128.7092786040.

The spelling of 2132208 in words is "two million, one hundred thirty-two thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 17 18 24 26 34 36 39 48 51 52 67 68 72 78 102 104 117 134 136 144 153 156 201 204 208 221 234 268 272 306 312 402 408 442 468 536 603 612 624 663 804 816 871 884 936 1072 1139 1206 1224 1326 1608 1742 1768 1872 1989 2278 2412 2448 2613 2652 3216 3417 3484 3536 3978 4556 4824 5226 5304 6834 6968 7839 7956 9112 9648 10251 10452 10608 13668 13936 14807 15678 15912 18224 20502 20904 27336 29614 31356 31824 41004 41808 44421 54672 59228 62712 82008 88842 118456 125424 133263 164016 177684 236912 266526 355368 533052 710736 1066104 2132208