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230332303300 = 225211317439091
BaseRepresentation
bin1101011010000011100…
…0000000011111000100
3211000112020212100022011
43112200320000133010
512233210032201200
6253451352344004
722432564163101
oct3264070003704
9730466770264
10230332303300
1189757642660
12387819a5004
13189494b2538
14b21070baa8
155ed133d5ba
hex35a0e007c4

230332303300 has 144 divisors (see below), whose sum is σ = 563667922944. Its totient is φ = 80937360000.

The previous prime is 230332303249. The next prime is 230332303303. The reversal of 230332303300 is 3303233032.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (230332303303) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25331755 + ... + 25340845.

It is an arithmetic number, because the mean of its divisors is an integer number (3914360576).

Almost surely, 2230332303300 is an apocalyptic number.

230332303300 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 230332303300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281833961472).

230332303300 is an abundant number, since it is smaller than the sum of its proper divisors (333335619644).

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

230332303300 is a wasteful number, since it uses less digits than its factorization.

230332303300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9890 (or 9883 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 22.

Adding to 230332303300 its reverse (3303233032), we get a palindrome (233635536332).

It can be divided in two parts, 23033 and 2303300, that multiplied together give a square (53051908900 = 2303302).

The spelling of 230332303300 in words is "two hundred thirty billion, three hundred thirty-two million, three hundred three thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 31 44 50 55 62 100 110 124 155 220 275 310 341 550 620 682 743 775 1100 1364 1486 1550 1705 2972 3100 3410 3715 6820 7430 8173 8525 9091 14860 16346 17050 18182 18575 23033 32692 34100 36364 37150 40865 45455 46066 74300 81730 90910 92132 100001 115165 163460 181820 200002 204325 227275 230330 253363 281821 400004 408650 454550 460660 500005 506726 563642 575825 817300 909100 1000010 1013452 1127284 1151650 1266815 1409105 2000020 2303300 2500025 2533630 2818210 3100031 5000050 5067260 5636420 6200062 6334075 6754613 7045525 10000100 12400124 12668150 13509226 14091050 15500155 25336300 27018452 28182100 31000310 33773065 62000620 67546130 74300743 77500775 135092260 148601486 155001550 168865325 209393003 297202972 310003100 337730650 371503715 418786006 675461300 743007430 837572012 1046965015 1486014860 1857518575 2093930030 2303323033 3715037150 4187860060 4606646066 5234825075 7430074300 9213292132 10469650150 11516615165 20939300300 23033230330 46066460660 57583075825 115166151650 230332303300