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233514468 = 223311196561
BaseRepresentation
bin11011110101100…
…10010111100100
3121021101202122000
431322302113210
5434234430333
635101005300
75533561125
oct1572622744
9537352560
10233514468
1110a8a3970
1266253830
13394bcb55
142302804c
1515779713
hexdeb25e4

233514468 has 48 divisors (see below), whose sum is σ = 660448320. Its totient is φ = 70761600.

The previous prime is 233514461. The next prime is 233514481. The reversal of 233514468 is 864415332.

233514468 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (233514461) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 97093 + ... + 99468.

It is an arithmetic number, because the mean of its divisors is an integer number (13759340).

Almost surely, 2233514468 is an apocalyptic number.

It is an amenable number.

233514468 is an abundant number, since it is smaller than the sum of its proper divisors (426933852).

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

233514468 is a wasteful number, since it uses less digits than its factorization.

233514468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196585 (or 196577 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 233514468 is about 15281.1801900246. The cubic root of 233514468 is about 615.7975138436.

The spelling of 233514468 in words is "two hundred thirty-three million, five hundred fourteen thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 132 198 297 396 594 1188 196561 393122 589683 786244 1179366 1769049 2162171 2358732 3538098 4324342 5307147 6486513 7076196 8648684 10614294 12973026 19459539 21228588 25946052 38919078 58378617 77838156 116757234 233514468