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2205000 = 23325472
BaseRepresentation
bin1000011010010101001000
311011000200200
420122111020
51031030000
6115132200
724512400
oct10322510
94130620
102205000
111276716
128a4060
135c2845
14415800
152d8500
hex21a548

2205000 has 180 divisors, whose sum is σ = 8680815. Its totient is φ = 504000.

The previous prime is 2204977. The next prime is 2205001. The reversal of 2205000 is 5022.

2205000 = 63 + 73 + ... + 543.

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 3 ways, for example, as 509796 + 1695204 = 714^2 + 1302^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is an ABA number since it can be written as A⋅BA, here for A=2, B=1050.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is not an unprimeable number, because it can be changed into a prime (2205001) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 314997 + ... + 315003.

22205000 is an apocalyptic number.

2205000 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 2205000

2205000 is an abundant number, since it is smaller than the sum of its proper divisors (6475815).

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

2205000 is a wasteful number, since it uses less digits than its factorization.

2205000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 9.

The square root of 2205000 is about 1484.9242404917. The cubic root of 2205000 is about 130.1575997906.

The spelling of 2205000 in words is "two million, two hundred five thousand".