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230660321140 = 2256111315710657
BaseRepresentation
bin1101011011010001101…
…1010010111101110100
3211001101010002101012001
43112310123102331310
512234343020234030
6253544111105044
722443656244244
oct3266433227564
9731333071161
10230660321140
1189905813287
1238853812184
131899c440032
14b2420d5b24
156000033cca
hex35b46d2f74

230660321140 has 96 divisors (see below), whose sum is σ = 499894817184. Its totient is φ = 89367183360.

The previous prime is 230660321117. The next prime is 230660321147. The reversal of 230660321140 is 41123066032.

It can be written as a sum of positive squares in 16 ways, for example, as 228526065936 + 2134255204 = 478044^2 + 46198^2 .

It is a junction number, because it is equal to n+sod(n) for n = 230660321099 and 230660321108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230660321147) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21638692 + ... + 21649348.

It is an arithmetic number, because the mean of its divisors is an integer number (5207237679).

Almost surely, 2230660321140 is an apocalyptic number.

230660321140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

230660321140 is an abundant number, since it is smaller than the sum of its proper divisors (269234496044).

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

230660321140 is a wasteful number, since it uses less digits than its factorization.

230660321140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10997 (or 10995 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

Adding to 230660321140 its reverse (41123066032), we get a palindrome (271783387172).

The spelling of 230660321140 in words is "two hundred thirty billion, six hundred sixty million, three hundred twenty-one thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 61 113 122 157 226 244 305 314 452 565 610 628 785 1130 1220 1570 2260 3140 6893 9577 10657 13786 17741 19154 21314 27572 34465 35482 38308 42628 47885 53285 68930 70964 88705 95770 106570 137860 177410 191540 213140 354820 650077 1082201 1204241 1300154 1673149 2164402 2408482 2600308 3250385 3346298 4328804 4816964 5411005 6021205 6500770 6692596 8365745 10822010 12042410 13001540 16731490 21644020 24084820 33462980 73458701 102062089 146917402 189065837 204124178 293834804 367293505 378131674 408248356 510310445 734587010 756263348 945329185 1020620890 1469174020 1890658370 2041241780 3781316740 11533016057 23066032114 46132064228 57665080285 115330160570 230660321140