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233121320 = 2355828033
BaseRepresentation
bin11011110010100…
…10011000101000
3121020122210022222
431321102120220
5434134340240
635044333212
75530332665
oct1571223050
9536583288
10233121320
1110a655553
12660a4208
13393b2c13
1422d64a6c
15156eceb5
hexde52628

233121320 has 16 divisors (see below), whose sum is σ = 524523060. Its totient is φ = 93248512.

The previous prime is 233121319. The next prime is 233121347. The reversal of 233121320 is 23121332.

It can be written as a sum of positive squares in 2 ways, for example, as 231222436 + 1898884 = 15206^2 + 1378^2 .

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 2913977 + ... + 2914056.

Almost surely, 2233121320 is an apocalyptic number.

233121320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

233121320 is an abundant number, since it is smaller than the sum of its proper divisors (291401740).

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

233121320 is a wasteful number, since it uses less digits than its factorization.

233121320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5828044 (or 5828040 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

The square root of 233121320 is about 15268.3109740403. The cubic root of 233121320 is about 615.4517314779.

Adding to 233121320 its reverse (23121332), we get a palindrome (256242652).

The spelling of 233121320 in words is "two hundred thirty-three million, one hundred twenty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 5828033 11656066 23312132 29140165 46624264 58280330 116560660 233121320