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230875578032 = 241133711633347
BaseRepresentation
bin1101011100000101000…
…0011011111010110000
3211001221010010120010112
43113001100123322300
512240313121444112
6254021320520452
722452212014331
oct3270120337260
9731833116115
10230875578032
1189a06276a40
12388b3920128
1318a04c09888
14b26292a288
156013da3a22
hex35c141beb0

230875578032 has 80 divisors (see below), whose sum is σ = 490002244992. Its totient is φ = 104510837760.

The previous prime is 230875577987. The next prime is 230875578077.

It is a happy number.

230875578032 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (230875577987) and next prime (230875578077).

It is a super-2 number, since 2×2308755780322 (a number of 24 digits) contains 22 as substring.

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, 68978183 + ... + 68981529.

Almost surely, 2230875578032 is an apocalyptic number.

230875578032 is a gapful number since it is divisible by the number (22) 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 230875578032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245001122496).

230875578032 is an abundant number, since it is smaller than the sum of its proper divisors (259126666960).

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

230875578032 is a wasteful number, since it uses less digits than its factorization.

230875578032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4866 (or 4860 counting only the distinct ones).

The product of its (nonzero) digits is 2822400, while the sum is 50.

The spelling of 230875578032 in words is "two hundred thirty billion, eight hundred seventy-five million, five hundred seventy-eight thousand, thirty-two".

Divisors: 1 2 4 8 11 16 22 44 88 176 337 674 1163 1348 2326 2696 3347 3707 4652 5392 6694 7414 9304 12793 13388 14828 18608 25586 26776 29656 36817 51172 53552 59312 73634 102344 147268 204688 294536 391931 589072 783862 1127939 1567724 2255878 3135448 3892561 4311241 4511756 6270896 7785122 8622482 9023512 12407329 15570244 17244964 18047024 24814658 31140488 34489928 42818171 49629316 62280976 68979856 85636342 99258632 171272684 198517264 342545368 685090736 1311793057 2623586114 5247172228 10494344456 14429723627 20988688912 28859447254 57718894508 115437789016 230875578032