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2306250 = 2325541
BaseRepresentation
bin1000110011000011001010
311100011120200
420303003022
51042300000
6121233030
725413522
oct10630312
94304520
102306250
1113357a1
12932776
1362995b
14440682
15308500
hex2330ca

2306250 has 72 divisors (see below), whose sum is σ = 6398028. Its totient is φ = 600000.

The previous prime is 2306221. The next prime is 2306261. The reversal of 2306250 is 526032.

It can be divided in two parts, 2306 and 250, that added together give a triangular number (2556 = T71).

It can be written as a sum of positive squares in 6 ways, for example, as 815409 + 1490841 = 903^2 + 1221^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 56230 + ... + 56270.

22306250 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2306250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3199014).

2306250 is an abundant number, since it is smaller than the sum of its proper divisors (4091778).

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

2306250 is an equidigital number, since it uses as much as digits as its factorization.

2306250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 2306250 is about 1518.6342548487. The cubic root of 2306250 is about 132.1200698124.

The spelling of 2306250 in words is "two million, three hundred six thousand, two hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 41 45 50 75 82 90 123 125 150 205 225 246 250 369 375 410 450 615 625 738 750 1025 1125 1230 1250 1845 1875 2050 2250 3075 3125 3690 3750 5125 5625 6150 6250 9225 9375 10250 11250 15375 18450 18750 25625 28125 30750 46125 51250 56250 76875 92250 128125 153750 230625 256250 384375 461250 768750 1153125 2306250