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2220084 = 223283743
BaseRepresentation
bin1000011110000000110100
311011210101100
420132000310
51032020314
6115330100
724604356
oct10360064
94153340
102220084
111286a89
128b0930
135c9679
1441b0d6
152dcc09
hex21e034

2220084 has 36 divisors (see below), whose sum is σ = 5687136. Its totient is φ = 730128.

The previous prime is 2220083. The next prime is 2220089. The reversal of 2220084 is 4800222.

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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (2220083) 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, 2617 + ... + 3359.

It is an arithmetic number, because the mean of its divisors is an integer number (157976).

22220084 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2220084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2843568).

2220084 is an abundant number, since it is smaller than the sum of its proper divisors (3467052).

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

2220084 is a wasteful number, since it uses less digits than its factorization.

2220084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 836 (or 831 counting only the distinct ones).

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

The square root of 2220084 is about 1489.9946308628. The cubic root of 2220084 is about 130.4537203228.

The spelling of 2220084 in words is "two million, two hundred twenty thousand, eighty-four".

Divisors: 1 2 3 4 6 9 12 18 36 83 166 249 332 498 743 747 996 1486 1494 2229 2972 2988 4458 6687 8916 13374 26748 61669 123338 185007 246676 370014 555021 740028 1110042 2220084