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230210304 = 283436971
BaseRepresentation
bin11011011100010…
…11101100000000
3121001011220011120
431232023230000
5432413212204
634502112240
75463520032
oct1556135400
9531156146
10230210304
11108a47455
126511b680
1338903c1c
1422807c52
15153256d9
hexdb8bb00

230210304 has 72 divisors (see below), whose sum is σ = 627033792. Its totient is φ = 74941440.

The previous prime is 230210303. The next prime is 230210317. The reversal of 230210304 is 403012032.

It is not an unprimeable number, because it can be changed into a prime (230210303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29539 + ... + 36509.

Almost surely, 2230210304 is an apocalyptic number.

230210304 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230210304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313516896).

230210304 is an abundant number, since it is smaller than the sum of its proper divisors (396823488).

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

230210304 is an equidigital number, since it uses as much as digits as its factorization.

230210304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7033 (or 7019 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 230210304 is about 15172.6828214393. The cubic root of 230210304 is about 612.8792522260.

Adding to 230210304 its reverse (403012032), we get a palindrome (633222336).

The spelling of 230210304 in words is "two hundred thirty million, two hundred ten thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 64 86 96 128 129 172 192 256 258 344 384 516 688 768 1032 1376 2064 2752 4128 5504 6971 8256 11008 13942 16512 20913 27884 33024 41826 55768 83652 111536 167304 223072 299753 334608 446144 599506 669216 892288 899259 1199012 1338432 1784576 1798518 2398024 2676864 3597036 4796048 5353728 7194072 9592096 14388144 19184192 28776288 38368384 57552576 76736768 115105152 230210304