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230283756 = 22337329209
BaseRepresentation
bin11011011100111…
…01100111101100
3121001022121221000
431232131213230
5432423040011
634503440300
75464244133
oct1556354754
9531277830
10230283756
11108a9765a
1265156090
133892b4a1
142282691a
151533c356
hexdb9d9ec

230283756 has 48 divisors (see below), whose sum is σ = 605231200. Its totient is φ = 75707136.

The previous prime is 230283733. The next prime is 230283761. The reversal of 230283756 is 657382032.

230283756 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 a self number, because there is not a number n which added to its sum of digits gives 230283756.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6721 + ... + 22488.

Almost surely, 2230283756 is an apocalyptic number.

It is an amenable number.

230283756 is an abundant number, since it is smaller than the sum of its proper divisors (374947444).

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

230283756 is a wasteful number, since it uses less digits than its factorization.

230283756 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29295 (or 29287 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 230283756 is about 15175.1031627465. The cubic root of 230283756 is about 612.9444280226.

The spelling of 230283756 in words is "two hundred thirty million, two hundred eighty-three thousand, seven hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 73 108 146 219 292 438 657 876 1314 1971 2628 3942 7884 29209 58418 87627 116836 175254 262881 350508 525762 788643 1051524 1577286 2132257 3154572 4264514 6396771 8529028 12793542 19190313 25587084 38380626 57570939 76761252 115141878 230283756