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2230452 = 2232753167
BaseRepresentation
bin1000100000100010110100
311012022121100
420200202310
51032333302
6115450100
724646530
oct10404264
94168540
102230452
111293854
128b6930
136012c3
14420bc0
152e0d1c
hex2208b4

2230452 has 72 divisors (see below), whose sum is σ = 6604416. Its totient is φ = 621504.

The previous prime is 2230439. The next prime is 2230457. The reversal of 2230452 is 2540322.

It is a super-2 number, since 2×22304522 = 9949832248608, which contains 22 as substring.

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

It is an Ulam number.

It is a d-powerful number, because it can be written as 25 + 217 + 37 + 0 + 4 + 5 + 221 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2230457) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13273 + ... + 13439.

It is an arithmetic number, because the mean of its divisors is an integer number (91728).

22230452 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 2230452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3302208).

2230452 is an abundant number, since it is smaller than the sum of its proper divisors (4373964).

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

2230452 is a wasteful number, since it uses less digits than its factorization.

2230452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237 (or 232 counting only the distinct ones).

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

The square root of 2230452 is about 1493.4697854326. The cubic root of 2230452 is about 130.6564820374.

Adding to 2230452 its reverse (2540322), we get a palindrome (4770774).

The spelling of 2230452 in words is "two million, two hundred thirty thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 53 63 84 106 126 159 167 212 252 318 334 371 477 501 636 668 742 954 1002 1113 1169 1484 1503 1908 2004 2226 2338 3006 3339 3507 4452 4676 6012 6678 7014 8851 10521 13356 14028 17702 21042 26553 35404 42084 53106 61957 79659 106212 123914 159318 185871 247828 318636 371742 557613 743484 1115226 2230452