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2205780 = 223597379
BaseRepresentation
bin1000011010100001010100
311011001202120
420122201110
51031041110
6115135540
724514563
oct10324124
94131676
102205780
111277265
128a45b0
135c2cc5
14415bda
152d8870
hex21a854

2205780 has 48 divisors (see below), whose sum is σ = 6256320. Its totient is φ = 580608.

The previous prime is 2205779. The next prime is 2205787. The reversal of 2205780 is 875022.

It is a self number, because there is not a number n which added to its sum of digits gives 2205780.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2205787) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5631 + ... + 6009.

It is an arithmetic number, because the mean of its divisors is an integer number (130340).

22205780 is an apocalyptic number.

2205780 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 2205780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3128160).

2205780 is an abundant number, since it is smaller than the sum of its proper divisors (4050540).

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

2205780 is a wasteful number, since it uses less digits than its factorization.

2205780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 488 (or 486 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 24.

The square root of 2205780 is about 1485.1868569308. The cubic root of 2205780 is about 130.1729453627.

The spelling of 2205780 in words is "two million, two hundred five thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 97 194 291 379 388 485 582 758 970 1137 1164 1455 1516 1895 1940 2274 2910 3790 4548 5685 5820 7580 11370 22740 36763 73526 110289 147052 183815 220578 367630 441156 551445 735260 1102890 2205780