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2242401 = 37106781
BaseRepresentation
bin1000100011011101100001
311012220222220
420203131201
51033224101
6120021253
725026420
oct10433541
94186886
102242401
1112a1827
12901829
13606885
144252b7
152e4636
hex223761

2242401 has 8 divisors (see below), whose sum is σ = 3417024. Its totient is φ = 1281360.

The previous prime is 2242381. The next prime is 2242433. The reversal of 2242401 is 1042422.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 2242401 - 25 = 2242369 is a prime.

It is a Curzon number.

2242401 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (2242441) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 53370 + ... + 53411.

It is an arithmetic number, because the mean of its divisors is an integer number (427128).

22242401 is an apocalyptic number.

2242401 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2242401 is a deficient number, since it is larger than the sum of its proper divisors (1174623).

2242401 is a wasteful number, since it uses less digits than its factorization.

2242401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106791.

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 2242401 is about 1497.4648576845. The cubic root of 2242401 is about 130.8893847038.

Adding to 2242401 its reverse (1042422), we get a palindrome (3284823).

It can be divided in two parts, 224 and 2401, that multiplied together give a 5-th power (537824 = 145).

The spelling of 2242401 in words is "two million, two hundred forty-two thousand, four hundred one".

Divisors: 1 3 7 21 106781 320343 747467 2242401