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2263312 = 241753157
BaseRepresentation
bin1000101000100100010000
311020222200101
420220210100
51034411222
6120302144
725144402
oct10504420
94228611
102263312
111306507
12911954
1361324c
1442cb72
152ea927
hex228910

2263312 has 40 divisors (see below), whose sum is σ = 4760856. Its totient is φ = 1038336.

The previous prime is 2263307. The next prime is 2263319. The reversal of 2263312 is 2133622.

It can be written as a sum of positive squares in 4 ways, for example, as 614656 + 1648656 = 784^2 + 1284^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2263312.

It is not an unprimeable number, because it can be changed into a prime (2263319) 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, 14338 + ... + 14494.

22263312 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 2263312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2380428).

2263312 is an abundant number, since it is smaller than the sum of its proper divisors (2497544).

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

2263312 is a wasteful number, since it uses less digits than its factorization.

2263312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235 (or 229 counting only the distinct ones).

The product of its digits is 432, while the sum is 19.

The square root of 2263312 is about 1504.4307893685. The cubic root of 2263312 is about 131.2949862420.

Adding to 2263312 its reverse (2133622), we get a palindrome (4396934).

The spelling of 2263312 in words is "two million, two hundred sixty-three thousand, three hundred twelve".

Divisors: 1 2 4 8 16 17 34 53 68 106 136 157 212 272 314 424 628 848 901 1256 1802 2512 2669 3604 5338 7208 8321 10676 14416 16642 21352 33284 42704 66568 133136 141457 282914 565828 1131656 2263312