Search a number
-
+
2242458 = 233131317
BaseRepresentation
bin1000100011011110011010
311012221002000
420203132122
51033224313
6120021430
725026531
oct10433632
94187060
102242458
1112a1879
12901876
136068ca
14425318
152e4673
hex22379a

2242458 has 32 divisors (see below), whose sum is σ = 5037120. Its totient is φ = 739440.

The previous prime is 2242441. The next prime is 2242469. The reversal of 2242458 is 8542422.

It is a happy number.

2242458 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a plaindrome in base 16.

It is an unprimeable number.

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, 6916 + ... + 7232.

It is an arithmetic number, because the mean of its divisors is an integer number (157410).

22242458 is an apocalyptic number.

2242458 is an abundant number, since it is smaller than the sum of its proper divisors (2794662).

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

2242458 is a wasteful number, since it uses less digits than its factorization.

2242458 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 459 (or 453 counting only the distinct ones).

The product of its digits is 5120, while the sum is 27.

The square root of 2242458 is about 1497.4838897297. The cubic root of 2242458 is about 130.8904937281.

The spelling of 2242458 in words is "two million, two hundred forty-two thousand, four hundred fifty-eight".

Divisors: 1 2 3 6 9 18 27 54 131 262 317 393 634 786 951 1179 1902 2358 2853 3537 5706 7074 8559 17118 41527 83054 124581 249162 373743 747486 1121229 2242458