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2205520 = 245191451
BaseRepresentation
bin1000011010011101010000
311011001101221
420122131100
51031034040
6115134424
724514042
oct10323520
94131357
102205520
111277049
128a4414
135c2b55
14415a92
152d874a
hex21a750

2205520 has 40 divisors (see below), whose sum is σ = 5401440. Its totient is φ = 835200.

The previous prime is 2205503. The next prime is 2205521. The reversal of 2205520 is 255022.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 2205494 and 2205503.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2205521) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 795 + ... + 2245.

It is an arithmetic number, because the mean of its divisors is an integer number (135036).

22205520 is an apocalyptic number.

2205520 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 2205520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2700720).

2205520 is an abundant number, since it is smaller than the sum of its proper divisors (3195920).

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

2205520 is a wasteful number, since it uses less digits than its factorization.

2205520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1483 (or 1477 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 16.

The square root of 2205520 is about 1485.0993232777. The cubic root of 2205520 is about 130.1678305740.

The spelling of 2205520 in words is "two million, two hundred five thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 76 80 95 152 190 304 380 760 1451 1520 2902 5804 7255 11608 14510 23216 27569 29020 55138 58040 110276 116080 137845 220552 275690 441104 551380 1102760 2205520