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2225232 = 243417101
BaseRepresentation
bin1000011111010001010000
311012001110000
420133101100
51032201412
6115410000
724625362
oct10372120
94161400
102225232
11128a939
128b3900
135cbb09
1441cd32
152de4dc
hex21f450

2225232 has 100 divisors (see below), whose sum is σ = 6886836. Its totient is φ = 691200.

The previous prime is 2225231. The next prime is 2225233. The reversal of 2225232 is 2325222.

It is an interprime number because it is at equal distance from previous prime (2225231) and next prime (2225233).

It can be written as a sum of positive squares in 2 ways, for example, as 1971216 + 254016 = 1404^2 + 504^2 .

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

It is a d-powerful number, because it can be written as 213 + 215 + 216 + 53 + 218 + 313 + 218 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2225231) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 21982 + ... + 22082.

22225232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2225232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3443418).

2225232 is an abundant number, since it is smaller than the sum of its proper divisors (4661604).

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

2225232 is a wasteful number, since it uses less digits than its factorization.

2225232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 123 counting only the distinct ones).

The product of its digits is 480, while the sum is 18.

The square root of 2225232 is about 1491.7211535672. The cubic root of 2225232 is about 130.5544758692.

The spelling of 2225232 in words is "two million, two hundred twenty-five thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 34 36 48 51 54 68 72 81 101 102 108 136 144 153 162 202 204 216 272 303 306 324 404 408 432 459 606 612 648 808 816 909 918 1212 1224 1296 1377 1616 1717 1818 1836 2424 2448 2727 2754 3434 3636 3672 4848 5151 5454 5508 6868 7272 7344 8181 10302 10908 11016 13736 14544 15453 16362 20604 21816 22032 27472 30906 32724 41208 43632 46359 61812 65448 82416 92718 123624 130896 139077 185436 247248 278154 370872 556308 741744 1112616 2225232