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230486640 = 24351317331
BaseRepresentation
bin11011011110011…
…11001001110000
3121001200221020020
431233033021300
5433001033030
634512043440
75466050466
oct1557171160
9531627206
10230486640
1110911602a
1265233580
133899c937
142287a836
151537c510
hexdbcf270

230486640 has 80 divisors (see below), whose sum is σ = 720061056. Its totient is φ = 60985600.

The previous prime is 230486639. The next prime is 230486671. The reversal of 230486640 is 46684032.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

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, 27775 + ... + 35105.

Almost surely, 2230486640 is an apocalyptic number.

230486640 is a gapful number since it is divisible by the number (20) 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 230486640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360030528).

230486640 is an abundant number, since it is smaller than the sum of its proper divisors (489574416).

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

230486640 is a wasteful number, since it uses less digits than its factorization.

230486640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7478 (or 7472 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

The square root of 230486640 is about 15181.7864561454. The cubic root of 230486640 is about 613.1243800917.

The spelling of 230486640 in words is "two hundred thirty million, four hundred eighty-six thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 131 240 262 393 524 655 786 1048 1310 1572 1965 2096 2620 3144 3930 5240 6288 7331 7860 10480 14662 15720 21993 29324 31440 36655 43986 58648 73310 87972 109965 117296 146620 175944 219930 293240 351888 439860 586480 879720 960361 1759440 1920722 2881083 3841444 4801805 5762166 7682888 9603610 11524332 14405415 15365776 19207220 23048664 28810830 38414440 46097328 57621660 76828880 115243320 230486640