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2205500 = 225311401
BaseRepresentation
bin1000011010011100111100
311011001101012
420122130330
51031034000
6115134352
724514013
oct10323474
94131335
102205500
111277030
128a43b8
135c2b3b
14415a7a
152d8735
hex21a73c

2205500 has 48 divisors (see below), whose sum is σ = 5267808. Its totient is φ = 800000.

The previous prime is 2205487. The next prime is 2205503. The reversal of 2205500 is 55022.

2205500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (14) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2205503) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5300 + ... + 5700.

It is an arithmetic number, because the mean of its divisors is an integer number (109746).

22205500 is an apocalyptic number.

2205500 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 2205500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2633904).

2205500 is an abundant number, since it is smaller than the sum of its proper divisors (3062308).

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

2205500 is a wasteful number, since it uses less digits than its factorization.

2205500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 431 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 14.

The square root of 2205500 is about 1485.0925897061. The cubic root of 2205500 is about 130.1674371121.

It can be divided in two parts, 2205 and 500, that multiplied together give a square (1102500 = 10502).

The spelling of 2205500 in words is "two million, two hundred five thousand, five hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 125 220 250 275 401 500 550 802 1100 1375 1604 2005 2750 4010 4411 5500 8020 8822 10025 17644 20050 22055 40100 44110 50125 88220 100250 110275 200500 220550 441100 551375 1102750 2205500