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230090832 = 24322277039
BaseRepresentation
bin11011011011011…
…10100001010000
3121000221211021200
431231232201100
5432400401312
634455351200
75462511516
oct1555564120
9530854250
10230090832
11108975714
1265082500
133889172a
14227b64b6
15153000dc
hexdb6e850

230090832 has 60 divisors (see below), whose sum is σ = 646863360. Its totient is φ = 76348224.

The previous prime is 230090831. The next prime is 230090837. The reversal of 230090832 is 238090032.

230090832 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 230090796 and 230090805.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230090831) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29169 + ... + 36207.

It is an arithmetic number, because the mean of its divisors is an integer number (10781056).

Almost surely, 2230090832 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 230090832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323431680).

230090832 is an abundant number, since it is smaller than the sum of its proper divisors (416772528).

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

230090832 is a wasteful number, since it uses less digits than its factorization.

230090832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7280 (or 7271 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 230090832 is about 15168.7452348571. The cubic root of 230090832 is about 612.7732121124.

The spelling of 230090832 in words is "two hundred thirty million, ninety thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 227 454 681 908 1362 1816 2043 2724 3632 4086 5448 7039 8172 10896 14078 16344 21117 28156 32688 42234 56312 63351 84468 112624 126702 168936 253404 337872 506808 1013616 1597853 3195706 4793559 6391412 9587118 12782824 14380677 19174236 25565648 28761354 38348472 57522708 76696944 115045416 230090832