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2227540 = 225722273
BaseRepresentation
bin1000011111110101010100
311012011121111
420133311110
51032240130
6115424404
724635200
oct10376524
94164544
102227540
111291647
128b5104
135ccb93
1441db00
152e002a
hex21fd54

2227540 has 36 divisors (see below), whose sum is σ = 5443956. Its totient is φ = 763392.

The previous prime is 2227531. The next prime is 2227543. The reversal of 2227540 is 457222.

2227540 is digitally balanced in base 8, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 1449616 + 777924 = 1204^2 + 882^2 .

2227540 is strictly pandigital in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2227543) 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, 157 + ... + 2116.

It is an arithmetic number, because the mean of its divisors is an integer number (151221).

22227540 is an apocalyptic number.

2227540 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 2227540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2721978).

2227540 is an abundant number, since it is smaller than the sum of its proper divisors (3216416).

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

2227540 is a wasteful number, since it uses less digits than its factorization.

2227540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2296 (or 2287 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 22.

The square root of 2227540 is about 1492.4945561040. The cubic root of 2227540 is about 130.5995970992.

The spelling of 2227540 in words is "two million, two hundred twenty-seven thousand, five hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 490 980 2273 4546 9092 11365 15911 22730 31822 45460 63644 79555 111377 159110 222754 318220 445508 556885 1113770 2227540