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233825384 = 231316713463
BaseRepresentation
bin11011110111111…
…10010001101000
3121021222120010102
431323332101220
5434324403014
635111404532
75536324442
oct1573762150
9537876112
10233825384
1110aa96521
1266383748
133959b520
14230a9492
15157db8de
hexdefe468

233825384 has 32 divisors (see below), whose sum is σ = 475009920. Its totient is φ = 107265216.

The previous prime is 233825369. The next prime is 233825401. The reversal of 233825384 is 483528332.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10637 + ... + 24099.

It is an arithmetic number, because the mean of its divisors is an integer number (14844060).

Almost surely, 2233825384 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 233825384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237504960).

233825384 is an abundant number, since it is smaller than the sum of its proper divisors (241184536).

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

233825384 is a wasteful number, since it uses less digits than its factorization.

233825384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13649 (or 13645 counting only the distinct ones).

The product of its digits is 138240, while the sum is 38.

The square root of 233825384 is about 15291.3499731057. The cubic root of 233825384 is about 616.0706966142.

The spelling of 233825384 in words is "two hundred thirty-three million, eight hundred twenty-five thousand, three hundred eighty-four".

Divisors: 1 2 4 8 13 26 52 104 167 334 668 1336 2171 4342 8684 13463 17368 26926 53852 107704 175019 350038 700076 1400152 2248321 4496642 8993284 17986568 29228173 58456346 116912692 233825384