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2170212 = 2231141401
BaseRepresentation
bin1000010001110101100100
311002020222020
420101311210
51023421322
6114303140
724306102
oct10216544
94066866
102170212
111252570
12887ab0
135aca65
14406c72
152cd05c
hex211d64

2170212 has 48 divisors (see below), whose sum is σ = 5673024. Its totient is φ = 640000.

The previous prime is 2170193. The next prime is 2170213. The reversal of 2170212 is 2120712.

It is a junction number, because it is equal to n+sod(n) for n = 2170191 and 2170200.

It is not an unprimeable number, because it can be changed into a prime (2170213) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5212 + ... + 5612.

It is an arithmetic number, because the mean of its divisors is an integer number (118188).

22170212 is an apocalyptic number.

2170212 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

2170212 is the 1203-rd pentagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2170212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2836512).

2170212 is an abundant number, since it is smaller than the sum of its proper divisors (3502812).

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

2170212 is a wasteful number, since it uses less digits than its factorization.

2170212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 460 (or 458 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 15.

The square root of 2170212 is about 1473.1639419970. The cubic root of 2170212 is about 129.4694749737.

Adding to 2170212 its reverse (2120712), we get a palindrome (4290924).

The spelling of 2170212 in words is "two million, one hundred seventy thousand, two hundred twelve".

Divisors: 1 2 3 4 6 11 12 22 33 41 44 66 82 123 132 164 246 401 451 492 802 902 1203 1353 1604 1804 2406 2706 4411 4812 5412 8822 13233 16441 17644 26466 32882 49323 52932 65764 98646 180851 197292 361702 542553 723404 1085106 2170212