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2166192 = 243272307
BaseRepresentation
bin1000010000110110110000
311002001110100
420100312300
51023304232
6114232400
724261300
oct10206660
94061410
102166192
11124a546
12885700
135aac92
14405600
152cbc7c
hex210db0

2166192 has 90 divisors (see below), whose sum is σ = 7075068. Its totient is φ = 616896.

The previous prime is 2166179. The next prime is 2166221. The reversal of 2166192 is 2916612.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 6903 + ... + 7209.

22166192 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 2166192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3537534).

2166192 is an abundant number, since it is smaller than the sum of its proper divisors (4908876).

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

2166192 is a wasteful number, since it uses less digits than its factorization.

2166192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335 (or 319 counting only the distinct ones).

The product of its digits is 1296, while the sum is 27.

The square root of 2166192 is about 1471.7988993066. The cubic root of 2166192 is about 129.3894844807.

The spelling of 2166192 in words is "two million, one hundred sixty-six thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 49 56 63 72 84 98 112 126 144 147 168 196 252 294 307 336 392 441 504 588 614 784 882 921 1008 1176 1228 1764 1842 2149 2352 2456 2763 3528 3684 4298 4912 5526 6447 7056 7368 8596 11052 12894 14736 15043 17192 19341 22104 25788 30086 34384 38682 44208 45129 51576 60172 77364 90258 103152 120344 135387 154728 180516 240688 270774 309456 361032 541548 722064 1083096 2166192