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2226132 = 223261837
BaseRepresentation
bin1000011111011111010100
311012002200100
420133133110
51032214012
6115414100
724631116
oct10373724
94162610
102226132
111290587
128b4330
135cc34c
1441d3b6
152de8dc
hex21f7d4

2226132 has 18 divisors (see below), whose sum is σ = 5627258. Its totient is φ = 742032.

The previous prime is 2226131. The next prime is 2226137. The reversal of 2226132 is 2316222.

It can be written as a sum of positive squares in only one way, i.e., 1758276 + 467856 = 1326^2 + 684^2 .

It is a tau number, because it is divible by the number of its divisors (18).

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 an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2226131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 30883 + ... + 30954.

22226132 is an apocalyptic number.

It is an amenable number.

2226132 is an abundant number, since it is smaller than the sum of its proper divisors (3401126).

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

2226132 is a wasteful number, since it uses less digits than its factorization.

2226132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61847 (or 61842 counting only the distinct ones).

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

The square root of 2226132 is about 1492.0227880297. The cubic root of 2226132 is about 130.5720745122.

The spelling of 2226132 in words is "two million, two hundred twenty-six thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 61837 123674 185511 247348 371022 556533 742044 1113066 2226132