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2262132 = 2232312027
BaseRepresentation
bin1000101000010001110100
311020221001200
420220101310
51034342012
6120252500
725141065
oct10502164
94227050
102262132
111305634
12911130
13612852
1442c56c
152ea3dc
hex228474

2262132 has 36 divisors (see below), whose sum is σ = 5905536. Its totient is φ = 729360.

The previous prime is 2262103. The next prime is 2262133. The reversal of 2262132 is 2312622.

2262132 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

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 (2262133) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 103 + ... + 2129.

22262132 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 2262132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2952768).

2262132 is an abundant number, since it is smaller than the sum of its proper divisors (3643404).

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

2262132 is a wasteful number, since it uses less digits than its factorization.

2262132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2068 (or 2063 counting only the distinct ones).

The product of its digits is 288, while the sum is 18.

The square root of 2262132 is about 1504.0385633354. The cubic root of 2262132 is about 131.2721649641.

Adding to 2262132 its reverse (2312622), we get a palindrome (4574754).

The spelling of 2262132 in words is "two million, two hundred sixty-two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 31 36 62 93 124 186 279 372 558 1116 2027 4054 6081 8108 12162 18243 24324 36486 62837 72972 125674 188511 251348 377022 565533 754044 1131066 2262132