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2205472 = 25413
BaseRepresentation
bin1000011010011100100000
311011001100011
420122130200
51031033342
6115134304
724513643
oct10323440
94131304
102205472
111277005
128a4394
135c2b19
14415a5a
152d8717
hex21a720

2205472 has 24 divisors (see below), whose sum is σ = 4450572. Its totient is φ = 1075840.

The previous prime is 2205451. The next prime is 2205481. The reversal of 2205472 is 2745022.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 234256 + 1971216 = 484^2 + 1404^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 53772 + ... + 53812.

22205472 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 2205472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2225286).

2205472 is an abundant number, since it is smaller than the sum of its proper divisors (2245100).

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

2205472 is an frugal number, since it uses more digits than its factorization.

2205472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 43 counting only the distinct ones).

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

The square root of 2205472 is about 1485.0831626545. The cubic root of 2205472 is about 130.1668862614.

The spelling of 2205472 in words is "two million, two hundred five thousand, four hundred seventy-two".

Divisors: 1 2 4 8 16 32 41 82 164 328 656 1312 1681 3362 6724 13448 26896 53792 68921 137842 275684 551368 1102736 2205472