Search a number
-
+
2233240 = 235311801
BaseRepresentation
bin1000100001001110011000
311012110102121
420201032120
51032430430
6115511024
724660622
oct10411630
94173377
102233240
111295959
128b8474
13602659
14421c12
152e1a7a
hex221398

2233240 has 32 divisors (see below), whose sum is σ = 5189760. Its totient is φ = 864000.

The previous prime is 2233223. The next prime is 2233243. The reversal of 2233240 is 423322.

2233240 = T171 + T172 + ... + T263.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2233243) 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, 340 + ... + 2140.

It is an arithmetic number, because the mean of its divisors is an integer number (162180).

22233240 is an apocalyptic number.

2233240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2233240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2594880).

2233240 is an abundant number, since it is smaller than the sum of its proper divisors (2956520).

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

2233240 is a wasteful number, since it uses less digits than its factorization.

2233240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1843 (or 1839 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 16.

The square root of 2233240 is about 1494.4028907895. The cubic root of 2233240 is about 130.7108983024.

Adding to 2233240 its reverse (423322), we get a palindrome (2656562).

The spelling of 2233240 in words is "two million, two hundred thirty-three thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 20 31 40 62 124 155 248 310 620 1240 1801 3602 7204 9005 14408 18010 36020 55831 72040 111662 223324 279155 446648 558310 1116620 2233240