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2190168 = 2332191601
BaseRepresentation
bin1000010110101101011000
311010021100100
420112231120
51030041133
6114535400
724421221
oct10265530
94107310
102190168
111266562
12897560
135b8b76
14410248
152d3e13
hex216b58

2190168 has 48 divisors (see below), whose sum is σ = 6247800. Its totient is φ = 691200.

The previous prime is 2190157. The next prime is 2190169. The reversal of 2190168 is 8610912.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2190169) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 568 + ... + 2168.

22190168 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 2190168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3123900).

2190168 is an abundant number, since it is smaller than the sum of its proper divisors (4057632).

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

2190168 is a wasteful number, since it uses less digits than its factorization.

2190168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1632 (or 1625 counting only the distinct ones).

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

The square root of 2190168 is about 1479.9216195461. The cubic root of 2190168 is about 129.8651066258.

It can be divided in two parts, 219016 and 8, that added together give a square (219024 = 4682).

The spelling of 2190168 in words is "two million, one hundred ninety thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 36 38 57 72 76 114 152 171 228 342 456 684 1368 1601 3202 4803 6404 9606 12808 14409 19212 28818 30419 38424 57636 60838 91257 115272 121676 182514 243352 273771 365028 547542 730056 1095084 2190168