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2235233 = 721121329
BaseRepresentation
bin1000100001101101100001
311012120011102
420201231201
51033011413
6115524145
724666500
oct10415541
94176142
102235233
111297400
128b9655
13603530
14422837
152e2458
hex221b61

2235233 has 36 divisors (see below), whose sum is σ = 3184020. Its totient is φ = 1552320.

The previous prime is 2235229. The next prime is 2235239. The reversal of 2235233 is 3325322.

It can be written as a sum of positive squares in 2 ways, for example, as 717409 + 1517824 = 847^2 + 1232^2 .

It is not a de Polignac number, because 2235233 - 22 = 2235229 is a prime.

Its product of digits (1080) is a multiple of the sum of its prime divisors (60).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2235239) 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, 77063 + ... + 77091.

It is an arithmetic number, because the mean of its divisors is an integer number (88445).

22235233 is an apocalyptic number.

It is an amenable number.

2235233 is a deficient number, since it is larger than the sum of its proper divisors (948787).

2235233 is a wasteful number, since it uses less digits than its factorization.

2235233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 60 counting only the distinct ones).

The product of its digits is 1080, while the sum is 20.

The square root of 2235233 is about 1495.0695635990. The cubic root of 2235233 is about 130.7497699813.

The spelling of 2235233 in words is "two million, two hundred thirty-five thousand, two hundred thirty-three".

Divisors: 1 7 11 13 29 49 77 91 121 143 203 319 377 539 637 847 1001 1421 1573 2233 2639 3509 4147 5929 7007 11011 15631 18473 24563 29029 45617 77077 171941 203203 319319 2235233