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332020233 = 32972771373
BaseRepresentation
bin10011110010100…
…011101000001001
3212010202101010200
4103302203220021
51134444121413
652540202413
711141061006
oct2362435011
9763671120
10332020233
11160464796
1293239409
1353a2c49c
143214a8ad
151e236573
hex13ca3a09

332020233 has 24 divisors (see below), whose sum is σ = 486632328. Its totient is φ = 218115072.

The previous prime is 332020219. The next prime is 332020237.

332020233 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 84052224 + 247968009 = 9168^2 + 15747^2 .

It is not a de Polignac number, because 332020233 - 28 = 332019977 is a prime.

It is a super-2 number, since 2×3320202332 = 220474870242748578, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (332020237) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 241135 + ... + 242507.

It is an arithmetic number, because the mean of its divisors is an integer number (20276347).

Almost surely, 2332020233 is an apocalyptic number.

It is an amenable number.

332020233 is a deficient number, since it is larger than the sum of its proper divisors (154612095).

332020233 is a wasteful number, since it uses less digits than its factorization.

332020233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1753 (or 1750 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 18.

The square root of 332020233 is about 18221.4223648979. The cubic root of 332020233 is about 692.4496232909.

The spelling of 332020233 in words is "three hundred thirty-two million, twenty thousand, two hundred thirty-three".

Divisors: 1 3 9 97 277 291 831 873 1373 2493 4119 12357 26869 80607 133181 241821 380321 399543 1140963 1198629 3422889 36891137 110673411 332020233