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2084220 = 2232511579
BaseRepresentation
bin111111100110101111100
310220220000100
413330311330
51013143340
6112401100
723500305
oct7746574
93826010
102084220
1111a39a6
12846190
1357c888
143c37ac
152b2830
hex1fcd7c

2084220 has 36 divisors (see below), whose sum is σ = 6322680. Its totient is φ = 555744.

The previous prime is 2084219. The next prime is 2084227. The reversal of 2084220 is 224802.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2084193 and 2084202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2084227) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5610 + ... + 5969.

It is an arithmetic number, because the mean of its divisors is an integer number (175630).

22084220 is an apocalyptic number.

2084220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2084220 is an abundant number, since it is smaller than the sum of its proper divisors (4238460).

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

2084220 is a wasteful number, since it uses less digits than its factorization.

2084220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11594 (or 11589 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 2084220 is about 1443.6827906434. The cubic root of 2084220 is about 127.7363551232.

It can be divided in two parts, 2084 and 220, that added together give a square (2304 = 482).

The spelling of 2084220 in words is "two million, eighty-four thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 11579 23158 34737 46316 57895 69474 104211 115790 138948 173685 208422 231580 347370 416844 521055 694740 1042110 2084220