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2397164 = 2271143181
BaseRepresentation
bin1001001001001111101100
311111210021212
421021033230
51103202124
6123213552
726242550
oct11111754
94453255
102397164
111398030
129772b8
1365c153
14465860
1532540e
hex2493ec

2397164 has 48 divisors (see below), whose sum is σ = 5381376. Its totient is φ = 907200.

The previous prime is 2397151. The next prime is 2397167. The reversal of 2397164 is 4617932.

2397164 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a d-powerful number, because it can be written as 221 + 39 + 92 + 75 + 1 + 64 + 49 .

It is a self number, because there is not a number n which added to its sum of digits gives 2397164.

It is not an unprimeable number, because it can be changed into a prime (2397167) 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, 13154 + ... + 13334.

It is an arithmetic number, because the mean of its divisors is an integer number (112112).

22397164 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 2397164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2690688).

2397164 is an abundant number, since it is smaller than the sum of its proper divisors (2984212).

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

2397164 is a wasteful number, since it uses less digits than its factorization.

2397164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 244 counting only the distinct ones).

The product of its digits is 9072, while the sum is 32.

The square root of 2397164 is about 1548.2777528596. The cubic root of 2397164 is about 133.8338327903.

The spelling of 2397164 in words is "two million, three hundred ninety-seven thousand, one hundred sixty-four".

Divisors: 1 2 4 7 11 14 22 28 43 44 77 86 154 172 181 301 308 362 473 602 724 946 1204 1267 1892 1991 2534 3311 3982 5068 6622 7783 7964 13244 13937 15566 27874 31132 54481 55748 85613 108962 171226 217924 342452 599291 1198582 2397164