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22401 = 3219131
BaseRepresentation
bin101011110000001
31010201200
411132001
51204101
6251413
7122211
oct53601
933650
1022401
1115915
1210b69
13a272
148241
156986
hex5781

22401 has 12 divisors (see below), whose sum is σ = 34320. Its totient is φ = 14040.

The previous prime is 22397. The next prime is 22409. The reversal of 22401 is 10422.

It is not a de Polignac number, because 22401 - 22 = 22397 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

22401 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (22409) 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 11 ways as a sum of consecutive naturals, for example, 106 + ... + 236.

It is an arithmetic number, because the mean of its divisors is an integer number (2860).

222401 is an apocalyptic number.

It is an amenable number.

22401 is a deficient number, since it is larger than the sum of its proper divisors (11919).

22401 is a wasteful number, since it uses less digits than its factorization.

22401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 22401 is about 149.6696361992. The cubic root of 22401 is about 28.1896144041.

Adding to 22401 its reverse (10422), we get a palindrome (32823).

The spelling of 22401 in words is "twenty-two thousand, four hundred one", and thus it is an iban number.

Divisors: 1 3 9 19 57 131 171 393 1179 2489 7467 22401