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2258536 = 237311301
BaseRepresentation
bin1000100111011001101000
311020202010111
420213121220
51034233121
6120224104
725124440
oct10473150
94222114
102258536
111302965
1290b034
13611017
1442b120
152e92e1
hex227668

2258536 has 32 divisors (see below), whose sum is σ = 4999680. Its totient is φ = 936000.

The previous prime is 2258527. The next prime is 2258539. The reversal of 2258536 is 6358522.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a junction number, because it is equal to n+sod(n) for n = 2258498 and 2258507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2258539) 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, 1086 + ... + 2386.

It is an arithmetic number, because the mean of its divisors is an integer number (156240).

22258536 is an apocalyptic number.

2258536 is the 868-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2258536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2499840).

2258536 is an abundant number, since it is smaller than the sum of its proper divisors (2741144).

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

2258536 is a wasteful number, since it uses less digits than its factorization.

2258536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1345 (or 1341 counting only the distinct ones).

The product of its digits is 14400, while the sum is 31.

The square root of 2258536 is about 1502.8426397997. The cubic root of 2258536 is about 131.2025691050.

The spelling of 2258536 in words is "two million, two hundred fifty-eight thousand, five hundred thirty-six".

Divisors: 1 2 4 7 8 14 28 31 56 62 124 217 248 434 868 1301 1736 2602 5204 9107 10408 18214 36428 40331 72856 80662 161324 282317 322648 564634 1129268 2258536