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2244132 = 2233111889
BaseRepresentation
bin1000100011111000100100
311020000101000
420203320210
51033303012
6120033300
725034442
oct10437044
94200330
102244132
1112a3060
12902830
136075b7
14425b92
152e4ddc
hex223e24

2244132 has 48 divisors (see below), whose sum is σ = 6350400. Its totient is φ = 679680.

The previous prime is 2244131. The next prime is 2244139. The reversal of 2244132 is 2314422.

It is a super-2 number, since 2×22441322 = 10072256866848, which contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2244131) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 244 + ... + 2132.

It is an arithmetic number, because the mean of its divisors is an integer number (132300).

22244132 is an apocalyptic number.

2244132 is a gapful number since it is divisible by the number (22) 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 2244132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3175200).

2244132 is an abundant number, since it is smaller than the sum of its proper divisors (4106268).

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

2244132 is a wasteful number, since it uses less digits than its factorization.

2244132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1913 (or 1905 counting only the distinct ones).

The product of its digits is 384, while the sum is 18.

The square root of 2244132 is about 1498.0427230223. The cubic root of 2244132 is about 130.9230556441.

Adding to 2244132 its reverse (2314422), we get a palindrome (4558554).

It can be divided in two parts, 224 and 4132, that added together give a square (4356 = 662).

The spelling of 2244132 in words is "two million, two hundred forty-four thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 132 198 297 396 594 1188 1889 3778 5667 7556 11334 17001 20779 22668 34002 41558 51003 62337 68004 83116 102006 124674 187011 204012 249348 374022 561033 748044 1122066 2244132