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2170084 = 227174797
BaseRepresentation
bin1000010001110011100100
311002020210111
420101303210
51023420314
6114302404
724305530
oct10216344
94066714
102170084
111252464
12887a04
135ac997
14406bc0
152ccec4
hex211ce4

2170084 has 48 divisors (see below), whose sum is σ = 4741632. Its totient is φ = 847872.

The previous prime is 2170061. The next prime is 2170109. The reversal of 2170084 is 4800712.

2170084 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22324 + ... + 22420.

It is an arithmetic number, because the mean of its divisors is an integer number (98784).

22170084 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 2170084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2370816).

2170084 is an abundant number, since it is smaller than the sum of its proper divisors (2571548).

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

2170084 is a wasteful number, since it uses less digits than its factorization.

2170084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 22.

The square root of 2170084 is about 1473.1204974475. The cubic root of 2170084 is about 129.4669295360.

Adding to 2170084 its reverse (4800712), we get a palindrome (6970796).

The spelling of 2170084 in words is "two million, one hundred seventy thousand, eighty-four".

Divisors: 1 2 4 7 14 17 28 34 47 68 94 97 119 188 194 238 329 388 476 658 679 799 1316 1358 1598 1649 2716 3196 3298 4559 5593 6596 9118 11186 11543 18236 22372 23086 31913 46172 63826 77503 127652 155006 310012 542521 1085042 2170084