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233820328 = 23713131873
BaseRepresentation
bin11011110111111…
…01000010101000
3121021222022012011
431323331002220
5434324222303
635111325304
75536303630
oct1573750250
9537868164
10233820328
1110aa92745
1266380834
1339599131
14230a76c0
15157da16d
hexdefd0a8

233820328 has 32 divisors (see below), whose sum is σ = 504884160. Its totient is φ = 99440640.

The previous prime is 233820319. The next prime is 233820331. The reversal of 233820328 is 823028332.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 233820328.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8601 + ... + 23272.

It is an arithmetic number, because the mean of its divisors is an integer number (15777630).

Almost surely, 2233820328 is an apocalyptic number.

233820328 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

233820328 is an abundant number, since it is smaller than the sum of its proper divisors (271063832).

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

233820328 is a wasteful number, since it uses less digits than its factorization.

233820328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32017 (or 32013 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 31.

The square root of 233820328 is about 15291.1846499871. The cubic root of 233820328 is about 616.0662561555.

The spelling of 233820328 in words is "two hundred thirty-three million, eight hundred twenty thousand, three hundred twenty-eight".

Divisors: 1 2 4 7 8 14 28 56 131 262 524 917 1048 1834 3668 7336 31873 63746 127492 223111 254984 446222 892444 1784888 4175363 8350726 16701452 29227541 33402904 58455082 116910164 233820328