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230280242328 = 23334722683239
BaseRepresentation
bin1101011001110111000…
…1011010010010011000
3211000101121220101002000
43112131301122102120
512233103220223303
6253442252441000
722431362522613
oct3263561322230
9730347811060
10230280242328
1189730214464
1238768479160
131893b785026
14b20783917a
155ecb9a7da3
hex359dc5a498

230280242328 has 64 divisors (see below), whose sum is σ = 653277312000. Its totient is φ = 75126884256.

The previous prime is 230280242273. The next prime is 230280242347. The reversal of 230280242328 is 823242082032.

230280242328 is a `hidden beast` number, since 2 + 30 + 280 + 24 + 2 + 328 = 666.

230280242328 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 230280242292 and 230280242301.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11331468 + ... + 11351771.

It is an arithmetic number, because the mean of its divisors is an integer number (10207458000).

Almost surely, 2230280242328 is an apocalyptic number.

It is an amenable number.

230280242328 is an abundant number, since it is smaller than the sum of its proper divisors (422997069672).

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

230280242328 is a wasteful number, since it uses less digits than its factorization.

230280242328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22683301 (or 22683291 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The spelling of 230280242328 in words is "two hundred thirty billion, two hundred eighty million, two hundred forty-two thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 47 54 72 94 108 141 188 216 282 376 423 564 846 1128 1269 1692 2538 3384 5076 10152 22683239 45366478 68049717 90732956 136099434 181465912 204149151 272198868 408298302 544397736 612447453 816596604 1066112233 1224894906 1633193208 2132224466 2449789812 3198336699 4264448932 4899579624 6396673398 8528897864 9595010097 12793346796 19190020194 25586693592 28785030291 38380040388 57570060582 76760080776 115140121164 230280242328