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230162432 = 219439
BaseRepresentation
bin11011011100000…
…00000000000000
3121001002110111112
431232000000000
5432410144212
634501102452
75463230333
oct1556000000
9531073445
10230162432
11108a14495
12650b7a28
13388b81b6
14227d461a
1515316422
hexdb80000

230162432 has 40 divisors (see below), whose sum is σ = 461373000. Its totient is φ = 114819072.

The previous prime is 230162423. The next prime is 230162437. The reversal of 230162432 is 234261032.

It is a nialpdrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 230162398 and 230162407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230162437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 524069 + ... + 524507.

It is an arithmetic number, because the mean of its divisors is an integer number (11534325).

Almost surely, 2230162432 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 230162432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230686500).

230162432 is an abundant number, since it is smaller than the sum of its proper divisors (231210568).

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

230162432 is an frugal number, since it uses more digits than its factorization.

230162432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 477 (or 441 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

The square root of 230162432 is about 15171.1051673898. The cubic root of 230162432 is about 612.8367667406.

The spelling of 230162432 in words is "two hundred thirty million, one hundred sixty-two thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 32 64 128 256 439 512 878 1024 1756 2048 3512 4096 7024 8192 14048 16384 28096 32768 56192 65536 112384 131072 224768 262144 449536 524288 899072 1798144 3596288 7192576 14385152 28770304 57540608 115081216 230162432