Search a number
-
+
2258874 = 23359709
BaseRepresentation
bin1000100111011110111010
311020202121000
420213132322
51034240444
6120225430
725125432
oct10473672
94222530
102258874
111303142
1290b276
13611217
1442b2c2
152e9469
hex2277ba

2258874 has 32 divisors (see below), whose sum is σ = 5112000. Its totient is φ = 739152.

The previous prime is 2258873. The next prime is 2258903. The reversal of 2258874 is 4788522.

It is a happy number.

2258874 is a `hidden beast` number, since 2 + 2 + 588 + 74 = 666.

It is not an unprimeable number, because it can be changed into a prime (2258873) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2832 + ... + 3540.

It is an arithmetic number, because the mean of its divisors is an integer number (159750).

22258874 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2258874, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2556000).

2258874 is an abundant number, since it is smaller than the sum of its proper divisors (2853126).

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

2258874 is a wasteful number, since it uses less digits than its factorization.

2258874 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 779 (or 773 counting only the distinct ones).

The product of its digits is 35840, while the sum is 36.

The square root of 2258874 is about 1502.9550891494. The cubic root of 2258874 is about 131.2091137953.

The spelling of 2258874 in words is "two million, two hundred fifty-eight thousand, eight hundred seventy-four".

Divisors: 1 2 3 6 9 18 27 54 59 118 177 354 531 709 1062 1418 1593 2127 3186 4254 6381 12762 19143 38286 41831 83662 125493 250986 376479 752958 1129437 2258874