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230765054160 = 24351947749367
BaseRepresentation
bin1101011011101010101…
…0110100100011010000
3211001122102011100212210
43112322222310203100
512240101323213120
6254002331552120
722446400411314
oct3267252644320
9731572140783
10230765054160
11899599477a3
12388828bb640
13189b804cc34
14b251d99b44
156009320ce0
hex35baab48d0

230765054160 has 80 divisors (see below), whose sum is σ = 715422888576. Its totient is φ = 61532941824.

The previous prime is 230765054123. The next prime is 230765054189. The reversal of 230765054160 is 61450567032.

230765054160 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 (80).

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, 4649797 + ... + 4699163.

Almost surely, 2230765054160 is an apocalyptic number.

230765054160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

230765054160 is an abundant number, since it is smaller than the sum of its proper divisors (484657834416).

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

230765054160 is a wasteful number, since it uses less digits than its factorization.

230765054160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68860 (or 68854 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 39.

The spelling of 230765054160 in words is "two hundred thirty billion, seven hundred sixty-five million, fifty-four thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 19477 38954 49367 58431 77908 97385 98734 116862 148101 155816 194770 197468 233724 246835 292155 296202 311632 389540 394936 467448 493670 584310 592404 740505 779080 789872 934896 987340 1168620 1184808 1481010 1558160 1974680 2337240 2369616 2962020 3949360 4674480 5924040 11848080 961521059 1923042118 2884563177 3846084236 4807605295 5769126354 7692168472 9615210590 11538252708 14422815885 15384336944 19230421180 23076505416 28845631770 38460842360 46153010832 57691263540 76921684720 115382527080 230765054160