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2166426 = 23443311
BaseRepresentation
bin1000010000111010011010
311002001210000
420100322122
51023311201
6114233430
724262053
oct10207232
94061700
102166426
11124a739
12885876
135ab112
1440572a
152cbd86
hex210e9a

2166426 has 40 divisors (see below), whose sum is σ = 4983264. Its totient is φ = 703080.

The previous prime is 2166419. The next prime is 2166427. The reversal of 2166426 is 6246612.

It is a happy number.

2166426 is a `hidden beast` number, since 2 + 16 + 642 + 6 = 666.

It is a super-2 number, since 2×21664262 = 9386803226952, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 2166426.

It is not an unprimeable number, because it can be changed into a prime (2166427) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 6811 + ... + 7121.

22166426 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2166426, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2491632).

2166426 is an abundant number, since it is smaller than the sum of its proper divisors (2816838).

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

2166426 is a wasteful number, since it uses less digits than its factorization.

2166426 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368 (or 359 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 2166426 is about 1471.8783917158. The cubic root of 2166426 is about 129.3941433550.

The spelling of 2166426 in words is "two million, one hundred sixty-six thousand, four hundred twenty-six".

Divisors: 1 2 3 6 9 18 27 43 54 81 86 129 162 258 311 387 622 774 933 1161 1866 2322 2799 3483 5598 6966 8397 13373 16794 25191 26746 40119 50382 80238 120357 240714 361071 722142 1083213 2166426