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2205540 = 2232512253
BaseRepresentation
bin1000011010011101100100
311011001102200
420122131210
51031034130
6115134500
724514101
oct10323544
94131380
102205540
111277067
128a4430
135c2b6c
14415aa8
152d8760
hex21a764

2205540 has 36 divisors (see below), whose sum is σ = 6690684. Its totient is φ = 588096.

The previous prime is 2205527. The next prime is 2205547. The reversal of 2205540 is 455022.

It can be written as a sum of positive squares in 2 ways, for example, as 933156 + 1272384 = 966^2 + 1128^2 .

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 not an unprimeable number, because it can be changed into a prime (2205547) 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, 5947 + ... + 6306.

22205540 is an apocalyptic number.

2205540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2205540 is an abundant number, since it is smaller than the sum of its proper divisors (4485144).

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

2205540 is a wasteful number, since it uses less digits than its factorization.

2205540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12268 (or 12263 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 18.

The square root of 2205540 is about 1485.1060568188. The cubic root of 2205540 is about 130.1682240336.

The spelling of 2205540 in words is "two million, two hundred five thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 12253 24506 36759 49012 61265 73518 110277 122530 147036 183795 220554 245060 367590 441108 551385 735180 1102770 2205540