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2193204 = 2231317827
BaseRepresentation
bin1000010111011100110100
311010102111210
420113130310
51030140304
6115001420
724433116
oct10273464
94112453
102193204
111268872
12899270
135ba370
144113b6
152d4c89
hex217734

2193204 has 48 divisors (see below), whose sum is σ = 5842368. Its totient is φ = 634368.

The previous prime is 2193197. The next prime is 2193209. The reversal of 2193204 is 4023912.

2193204 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2193209) by changing a digit.

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, 2239 + ... + 3065.

It is an arithmetic number, because the mean of its divisors is an integer number (121716).

22193204 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 2193204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2921184).

2193204 is an abundant number, since it is smaller than the sum of its proper divisors (3649164).

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

2193204 is a wasteful number, since it uses less digits than its factorization.

2193204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 864 (or 862 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 2193204 is about 1480.9469943249. The cubic root of 2193204 is about 129.9250850423.

The spelling of 2193204 in words is "two million, one hundred ninety-three thousand, two hundred four".

Divisors: 1 2 3 4 6 12 13 17 26 34 39 51 52 68 78 102 156 204 221 442 663 827 884 1326 1654 2481 2652 3308 4962 9924 10751 14059 21502 28118 32253 42177 43004 56236 64506 84354 129012 168708 182767 365534 548301 731068 1096602 2193204