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2166633 = 3272173
BaseRepresentation
bin1000010000111101101001
311002002001200
420100331221
51023313013
6114234413
724262500
oct10207551
94062050
102166633
11124a907
12885a09
135ab241
14405837
152cbe73
hex210f69

2166633 has 36 divisors (see below), whose sum is σ = 3868020. Its totient is φ = 1165248.

The previous prime is 2166629. The next prime is 2166673. The reversal of 2166633 is 3366612.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 1192464 + 974169 = 1092^2 + 987^2 .

It is not a de Polignac number, because 2166633 - 22 = 2166629 is a prime.

Its product of digits (3888) is a multiple of the sum of its prime divisors (27).

It is a junction number, because it is equal to n+sod(n) for n = 2166597 and 2166606.

It is not an unprimeable number, because it can be changed into a prime (2166613) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 127441 + ... + 127457.

It is an arithmetic number, because the mean of its divisors is an integer number (107445).

22166633 is an apocalyptic number.

It is an amenable number.

2166633 is a deficient number, since it is larger than the sum of its proper divisors (1701387).

2166633 is an equidigital number, since it uses as much as digits as its factorization.

2166633 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 27 counting only the distinct ones).

The product of its digits is 3888, while the sum is 27.

The square root of 2166633 is about 1471.9487083455. The cubic root of 2166633 is about 129.3982643873.

The spelling of 2166633 in words is "two million, one hundred sixty-six thousand, six hundred thirty-three".

Divisors: 1 3 7 9 17 21 49 51 63 119 147 153 289 357 441 833 867 1071 2023 2499 2601 4913 6069 7497 14161 14739 18207 34391 42483 44217 103173 127449 240737 309519 722211 2166633