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2258442 = 2361549
BaseRepresentation
bin1000100111011000001010
311020202000000
420213120022
51034232232
6120223430
725124244
oct10473012
94222000
102258442
11130288a
1290ab76
13610c74
1442b094
152e927c
hex22760a

2258442 has 28 divisors (see below), whose sum is σ = 5082450. Its totient is φ = 752328.

The previous prime is 2258437. The next prime is 2258447. The reversal of 2258442 is 2448522.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2258437) and next prime (2258447).

It can be written as a sum of positive squares in only one way, i.e., 2047761 + 210681 = 1431^2 + 459^2 .

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

It is a nialpdrome in base 9.

It is not an unprimeable number, because it can be changed into a prime (2258447) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 684 + ... + 2232.

22258442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2258442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2541225).

2258442 is an abundant number, since it is smaller than the sum of its proper divisors (2824008).

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

2258442 is an equidigital number, since it uses as much as digits as its factorization.

2258442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1569 (or 1554 counting only the distinct ones).

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

The square root of 2258442 is about 1502.8113654082. The cubic root of 2258442 is about 131.2007488679.

The spelling of 2258442 in words is "two million, two hundred fifty-eight thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 18 27 54 81 162 243 486 729 1458 1549 3098 4647 9294 13941 27882 41823 83646 125469 250938 376407 752814 1129221 2258442