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230210222112 = 25321361487773
BaseRepresentation
bin1101011001100110011…
…0010011100000100000
3211000012202010222101200
43112121212103200200
512232432304101422
6253431312001200
722426552413213
oct3263146234040
9730182128350
10230210222112
11896a473a212
1238748b30200
131892a10a250
14b1dc40d77a
155ec57762ac
hex3599993820

230210222112 has 72 divisors (see below), whose sum is σ = 705018816684. Its totient is φ = 70833913344.

The previous prime is 230210222071. The next prime is 230210222117. The reversal of 230210222112 is 211222012032.

230210222112 is a `hidden beast` number, since 230 + 210 + 2 + 221 + 1 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 187693431696 + 42516790416 = 433236^2 + 206196^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (230210222117) 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, 30740143 + ... + 30747630.

Almost surely, 2230210222112 is an apocalyptic number.

It is an amenable number.

230210222112 is an abundant number, since it is smaller than the sum of its proper divisors (474808594572).

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

230210222112 is a wasteful number, since it uses less digits than its factorization.

230210222112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61487802 (or 61487791 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 230210222112 its reverse (211222012032), we get a palindrome (441432234144).

The spelling of 230210222112 in words is "two hundred thirty billion, two hundred ten million, two hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 117 144 156 208 234 288 312 416 468 624 936 1248 1872 3744 61487773 122975546 184463319 245951092 368926638 491902184 553389957 737853276 799341049 983804368 1106779914 1475706552 1598682098 1967608736 2213559828 2398023147 2951413104 3197364196 4427119656 4796046294 5902826208 6394728392 7194069441 8854239312 9592092588 12789456784 14388138882 17708478624 19184185176 25578913568 28776277764 38368370352 57552555528 76736740704 115105111056 230210222112