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2202084 = 223261169
BaseRepresentation
bin1000011001100111100100
311010212200200
420121213210
51030431314
6115110500
724501033
oct10314744
94125620
102202084
111274505
128a2430
135c1411
1441471a
152d7709
hex2199e4

2202084 has 18 divisors (see below), whose sum is σ = 5566470. Its totient is φ = 734016.

The previous prime is 2202077. The next prime is 2202121. The reversal of 2202084 is 4802022.

It can be written as a sum of positive squares in only one way, i.e., 1742400 + 459684 = 1320^2 + 678^2 .

It is a tau number, because it is divible by the number of its divisors (18).

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

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 30549 + ... + 30620.

22202084 is an apocalyptic number.

It is an amenable number.

2202084 is an abundant number, since it is smaller than the sum of its proper divisors (3364386).

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

2202084 is a wasteful number, since it uses less digits than its factorization.

2202084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61179 (or 61174 counting only the distinct ones).

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

The square root of 2202084 is about 1483.9420473859. The cubic root of 2202084 is about 130.1001988849.

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

The spelling of 2202084 in words is "two million, two hundred two thousand, eighty-four".

Divisors: 1 2 3 4 6 9 12 18 36 61169 122338 183507 244676 367014 550521 734028 1101042 2202084