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2180196 = 22352243
BaseRepresentation
bin1000010100010001100100
311002202200000
420110101210
51024231241
6114421300
724350154
oct10242144
94082600
102180196
11125a017
12891830
135b4475
1440a764
152d0eb6
hex214464

2180196 has 36 divisors (see below), whose sum is σ = 5717712. Its totient is φ = 726408.

The previous prime is 2180183. The next prime is 2180219. The reversal of 2180196 is 6910812.

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 (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 150 + ... + 2093.

22180196 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 2180196, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2858856).

2180196 is an abundant number, since it is smaller than the sum of its proper divisors (3537516).

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

2180196 is a wasteful number, since it uses less digits than its factorization.

2180196 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2262 (or 2248 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 2180196 is about 1476.5486785067. The cubic root of 2180196 is about 129.6677115305.

The spelling of 2180196 in words is "two million, one hundred eighty thousand, one hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 972 2243 4486 6729 8972 13458 20187 26916 40374 60561 80748 121122 181683 242244 363366 545049 726732 1090098 2180196