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230412241200 = 24352192010201
BaseRepresentation
bin1101011010010110100…
…0111100100100110000
3211000201211021121111010
43112211220330210300
512233341013204300
6253503325550520
722434554510151
oct3264550744460
9730654247433
10230412241200
1189798781139
12387a4715440
131895cc2057b
14b21b199928
155ed837da50
hex35a5a3c930

230412241200 has 60 divisors (see below), whose sum is σ = 738087216488. Its totient is φ = 61443264000.

The previous prime is 230412241193. The next prime is 230412241207. The reversal of 230412241200 is 2142214032.

It is an interprime number because it is at equal distance from previous prime (230412241193) and next prime (230412241207).

It is a tau number, because it is divible by the number of its divisors (60).

It is not an unprimeable number, because it can be changed into a prime (230412241207) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 96003901 + ... + 96006300.

Almost surely, 2230412241200 is an apocalyptic number.

230412241200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

230412241200 is an abundant number, since it is smaller than the sum of its proper divisors (507674975288).

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

230412241200 is a wasteful number, since it uses less digits than its factorization.

230412241200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192010222 (or 192010211 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 230412241200 its reverse (2142214032), we get a palindrome (232554455232).

The spelling of 230412241200 in words is "two hundred thirty billion, four hundred twelve million, two hundred forty-one thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1200 192010201 384020402 576030603 768040804 960051005 1152061206 1536081608 1920102010 2304122412 2880153015 3072163216 3840204020 4608244824 4800255025 5760306030 7680408040 9216489648 9600510050 11520612060 14400765075 15360816080 19201020100 23041224120 28801530150 38402040200 46082448240 57603060300 76804080400 115206120600 230412241200