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10230194160 = 2433535313417
BaseRepresentation
bin10011000011100010…
…00101111111110000
3222101221220201011000
421201301011333300
5131422412203120
64411044322000
7511341133644
oct114161057760
928357821130
1010230194160
11437a75031a
121b960a3300
13c705b6c34
146d0964c24
153ed1cd990
hex261c45ff0

10230194160 has 160 divisors (see below), whose sum is σ = 35339791680. Its totient is φ = 2720120832.

The previous prime is 10230194123. The next prime is 10230194201. The reversal of 10230194160 is 6149103201.

10230194160 is a `hidden beast` number, since 1 + 0 + 230 + 19 + 416 + 0 = 666.

10230194160 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 (27).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 755772 + ... + 769188.

It is an arithmetic number, because the mean of its divisors is an integer number (220873698).

Almost surely, 210230194160 is an apocalyptic number.

10230194160 is a gapful number since it is divisible by the number (10) 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 10230194160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17669895840).

10230194160 is an abundant number, since it is smaller than the sum of its proper divisors (25109597520).

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

10230194160 is a wasteful number, since it uses less digits than its factorization.

10230194160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13792 (or 13780 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

Adding to 10230194160 its reverse (6149103201), we get a palindrome (16379297361).

The spelling of 10230194160 in words is "ten billion, two hundred thirty million, one hundred ninety-four thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 353 360 432 540 706 720 1059 1080 1412 1765 2118 2160 2824 3177 3530 4236 5295 5648 6354 7060 8472 9531 10590 12708 13417 14120 15885 16944 19062 21180 25416 26834 28240 31770 38124 40251 42360 47655 50832 53668 63540 67085 76248 80502 84720 95310 107336 120753 127080 134170 152496 161004 190620 201255 214672 241506 254160 268340 322008 362259 381240 402510 483012 536680 603765 644016 724518 762480 805020 966024 1073360 1207530 1449036 1610040 1811295 1932048 2415060 2898072 3220080 3622590 4736201 4830120 5796144 7245180 9472402 9660240 14208603 14490360 18944804 23681005 28417206 28980720 37889608 42625809 47362010 56834412 71043015 75779216 85251618 94724020 113668824 127877427 142086030 170503236 189448040 213129045 227337648 255754854 284172060 341006472 378896080 426258090 511509708 568344120 639387135 682012944 852516180 1023019416 1136688240 1278774270 1705032360 2046038832 2557548540 3410064720 5115097080 10230194160