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230466244761 = 3441213012
BaseRepresentation
bin1101011010100011011…
…0111101000010011001
3211000212120220021110000
43112220312331002121
512233443324313021
6253512535243213
722436111521014
oct3265066750231
9730776807400
10230466244761
1189816206885
12387ba819509
131896b17b03c
14b22441637b
155edce99b26
hex35a8dbd099

230466244761 has 45 divisors (see below), whose sum is σ = 353149979149. Its totient is φ = 149781528000.

The previous prime is 230466244739. The next prime is 230466244777. The reversal of 230466244761 is 167442664032.

The square root of 230466244761 is 480069.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 215174449161 + 15291795600 = 463869^2 + 123660^2 .

It is not a de Polignac number, because 230466244761 - 213 = 230466236569 is a prime.

It is a super-2 number, since 2×2304662447612 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (230466244711) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 177144811 + ... + 177146111.

Almost surely, 2230466244761 is an apocalyptic number.

230466244761 is the 480069-th square number.

230466244761 is the 240035-th centered octagonal number.

It is an amenable number.

230466244761 is a deficient number, since it is larger than the sum of its proper divisors (122683734388).

230466244761 is an frugal number, since it uses more digits than its factorization.

230466244761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2696 (or 1345 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 45.

The spelling of 230466244761 in words is "two hundred thirty billion, four hundred sixty-six million, two hundred forty-four thousand, seven hundred sixty-one".

Divisors: 1 3 9 27 41 81 123 369 1107 1301 1681 3321 3903 5043 11709 15129 35127 45387 53341 105381 136161 160023 480069 1440207 1692601 2186981 4320621 5077803 6560943 15233409 19682829 45700227 59048487 69396641 137100681 177145461 208189923 624569769 1873709307 2845262281 5621127921 8535786843 25607360529 76822081587 230466244761