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230334440010 = 235231014098081
BaseRepresentation
bin1101011010000100000…
…0001010001001001010
3211000112101212220022120
43112201000022021022
512233211104040020
6253451510232110
722432621302423
oct3264100121112
9730471786276
10230334440010
1189758871a34
1238782655636
1318949a7cc6c
14b210b0664a
155ed1611740
hex35a100a24a

230334440010 has 128 divisors (see below), whose sum is σ = 584045406720. Its totient is φ = 58020864000.

The previous prime is 230334439991. The next prime is 230334440029. The reversal of 230334440010 is 10044433032.

It is an interprime number because it is at equal distance from previous prime (230334439991) and next prime (230334440029).

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 28499170 + ... + 28507250.

It is an arithmetic number, because the mean of its divisors is an integer number (4562854740).

Almost surely, 2230334440010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230334440010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292022703360).

230334440010 is an abundant number, since it is smaller than the sum of its proper divisors (353710966710).

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

230334440010 is a wasteful number, since it uses less digits than its factorization.

230334440010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8624.

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 230334440010 its reverse (10044433032), we get a palindrome (240378873042).

The spelling of 230334440010 in words is "two hundred thirty billion, three hundred thirty-four million, four hundred forty thousand, ten".

Divisors: 1 2 3 5 6 10 15 23 30 46 69 101 115 138 202 230 303 345 409 505 606 690 818 1010 1227 1515 2045 2323 2454 3030 4090 4646 6135 6969 8081 9407 11615 12270 13938 16162 18814 23230 24243 28221 34845 40405 41309 47035 48486 56442 69690 80810 82618 94070 121215 123927 141105 185863 206545 242430 247854 282210 371726 413090 557589 619635 816181 929315 950107 1115178 1239270 1632362 1858630 1900214 2448543 2787945 2850321 3305129 4080905 4750535 4897086 5575890 5700642 6610258 8161810 9501070 9915387 12242715 14251605 16525645 18772163 19830774 24485430 28503210 33051290 37544326 49576935 56316489 76017967 93860815 99153870 112632978 152035934 187721630 228053901 281582445 333818029 380089835 456107802 563164890 667636058 760179670 1001454087 1140269505 1669090145 2002908174 2280539010 3338180290 5007270435 7677814667 10014540870 15355629334 23033444001 38389073335 46066888002 76778146670 115167220005 230334440010