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2288250 = 23453113
BaseRepresentation
bin1000101110101001111010
311022020220000
420232221322
51041211000
6121013430
725310166
oct10565172
94266800
102288250
111323218
12924276
136216c3
14437ca6
15303000
hex22ea7a

2288250 has 80 divisors (see below), whose sum is σ = 6455592. Its totient is φ = 604800.

The previous prime is 2288249. The next prime is 2288257. The reversal of 2288250 is 528822.

It can be written as a sum of positive squares in 4 ways, for example, as 136161 + 2152089 = 369^2 + 1467^2 .

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2288257) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 20194 + ... + 20306.

22288250 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2288250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3227796).

2288250 is an abundant number, since it is smaller than the sum of its proper divisors (4167342).

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

2288250 is a wasteful number, since it uses less digits than its factorization.

2288250 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 2288250 is about 1512.6962682574. The cubic root of 2288250 is about 131.7754446545.

The spelling of 2288250 in words is "two million, two hundred eighty-eight thousand, two hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 45 50 54 75 81 90 113 125 135 150 162 225 226 250 270 339 375 405 450 565 675 678 750 810 1017 1125 1130 1350 1695 2025 2034 2250 2825 3051 3375 3390 4050 5085 5650 6102 6750 8475 9153 10125 10170 14125 15255 16950 18306 20250 25425 28250 30510 42375 45765 50850 76275 84750 91530 127125 152550 228825 254250 381375 457650 762750 1144125 2288250