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230767794960 = 2435961532479
BaseRepresentation
bin1101011011101011010…
…1010001101100010000
3211001122121022121112220
43112322311101230100
512240103023414320
6254002510421040
722446432615063
oct3267265215420
9731577277486
10230767794960
1189960449a1a
1238883801780
13189b879c601
14b2524b08da
1560096b2e40
hex35bad51b10

230767794960 has 40 divisors (see below), whose sum is σ = 715380165120. Its totient is φ = 61538078592.

The previous prime is 230767794893. The next prime is 230767794977. The reversal of 230767794960 is 69497767032.

230767794960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 230767794894 and 230767794903.

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 7 ways as a sum of consecutive naturals, for example, 480766000 + ... + 480766479.

It is an arithmetic number, because the mean of its divisors is an integer number (17884504128).

Almost surely, 2230767794960 is an apocalyptic number.

230767794960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

230767794960 is an abundant number, since it is smaller than the sum of its proper divisors (484612370160).

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

230767794960 is a wasteful number, since it uses less digits than its factorization.

230767794960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 961532495 (or 961532489 counting only the distinct ones).

The product of its (nonzero) digits is 24004512, while the sum is 60.

The spelling of 230767794960 in words is "two hundred thirty billion, seven hundred sixty-seven million, seven hundred ninety-four thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 961532479 1923064958 2884597437 3846129916 4807662395 5769194874 7692259832 9615324790 11538389748 14422987185 15384519664 19230649580 23076779496 28845974370 38461299160 46153558992 57691948740 76922598320 115383897480 230767794960