Search a number
-
+
2265750 = 232531953
BaseRepresentation
bin1000101001001010010110
311021010000200
420221022112
51040001000
6120321330
725154454
oct10511226
94233020
102265750
111308323
12913246
136143a6
1442d9d4
152eb500
hex229296

2265750 has 96 divisors (see below), whose sum is σ = 6570720. Its totient is φ = 561600.

The previous prime is 2265749. The next prime is 2265751. The reversal of 2265750 is 575622.

2265750 is a `hidden beast` number, since 2 + 2 + 657 + 5 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2265749) and next prime (2265751).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2265751) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 42724 + ... + 42776.

It is an arithmetic number, because the mean of its divisors is an integer number (68445).

22265750 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2265750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3285360).

2265750 is an abundant number, since it is smaller than the sum of its proper divisors (4304970).

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

2265750 is a wasteful number, since it uses less digits than its factorization.

2265750 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 2265750 is about 1505.2408445163. The cubic root of 2265750 is about 131.3421122106.

The spelling of 2265750 in words is "two million, two hundred sixty-five thousand, seven hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 19 25 30 38 45 50 53 57 75 90 95 106 114 125 150 159 171 190 225 250 265 285 318 342 375 450 475 477 530 570 750 795 855 950 954 1007 1125 1325 1425 1590 1710 2014 2250 2375 2385 2650 2850 3021 3975 4275 4750 4770 5035 6042 6625 7125 7950 8550 9063 10070 11925 13250 14250 15105 18126 19875 21375 23850 25175 30210 39750 42750 45315 50350 59625 75525 90630 119250 125875 151050 226575 251750 377625 453150 755250 1132875 2265750