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230446862640 = 24325499641413
BaseRepresentation
bin1101011010011110110…
…1000001000100110000
3211000211020102120011200
43112213231001010300
512233423344101030
6253511004011200
722435455004251
oct3264755010460
9730736376150
10230446862640
11898062787a5
12387b4230b00
1318967152c27
14b221a0cb28
155edb41bd60
hex35a7b41130

230446862640 has 120 divisors (see below), whose sum is σ = 775469526000. Its totient is φ = 61329249792.

The previous prime is 230446862621. The next prime is 230446862641. The reversal of 230446862640 is 46268644032.

230446862640 is a `hidden beast` number, since 2 + 304 + 4 + 6 + 86 + 264 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (230446862641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38574 + ... + 679986.

It is an arithmetic number, because the mean of its divisors is an integer number (6462246050).

Almost surely, 2230446862640 is an apocalyptic number.

230446862640 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 230446862640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387734763000).

230446862640 is an abundant number, since it is smaller than the sum of its proper divisors (545022663360).

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

230446862640 is a wasteful number, since it uses less digits than its factorization.

230446862640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 641931 (or 641922 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 45.

The spelling of 230446862640 in words is "two hundred thirty billion, four hundred forty-six million, eight hundred sixty-two thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 499 720 998 1497 1996 2495 2994 3992 4491 4990 5988 7485 7984 8982 9980 11976 14970 17964 19960 22455 23952 29940 35928 39920 44910 59880 71856 89820 119760 179640 359280 641413 1282826 1924239 2565652 3207065 3848478 5131304 5772717 6414130 7696956 9621195 10262608 11545434 12828260 15393912 19242390 23090868 25656520 28863585 30787824 38484780 46181736 51313040 57727170 76969560 92363472 115454340 153939120 230908680 320065087 461817360 640130174 960195261 1280260348 1600325435 1920390522 2560520696 2880585783 3200650870 3840781044 4800976305 5121041392 5761171566 6401301740 7681562088 9601952610 11522343132 12802603480 14402928915 15363124176 19203905220 23044686264 25605206960 28805857830 38407810440 46089372528 57611715660 76815620880 115223431320 230446862640