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230211301200 = 243521193160807
BaseRepresentation
bin1101011001100110101…
…0011010111101010000
3211000012211011210121220
43112121222122331100
512232433043114300
6253431351045040
722426564526226
oct3263152327520
9730184153556
10230211301200
11896a5306a21
1238749370780
131892a3c746a
14b1dc610b16
155ec58dada0
hex3599a9af50

230211301200 has 120 divisors (see below), whose sum is σ = 738066266688. Its totient is φ = 61337840640.

The previous prime is 230211301193. The next prime is 230211301211. The reversal of 230211301200 is 2103112032.

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 (15).

It is a self number, because there is not a number n which added to its sum of digits gives 230211301200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1351197 + ... + 1512003.

Almost surely, 2230211301200 is an apocalyptic number.

230211301200 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 230211301200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369033133344).

230211301200 is an abundant number, since it is smaller than the sum of its proper divisors (507854965488).

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

230211301200 is a wasteful number, since it uses less digits than its factorization.

230211301200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162021 (or 162010 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 230211301200 its reverse (2103112032), we get a palindrome (232314413232).

The spelling of 230211301200 in words is "two hundred thirty billion, two hundred eleven million, three hundred 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 1193 1200 2386 3579 4772 5965 7158 9544 11930 14316 17895 19088 23860 28632 29825 35790 47720 57264 59650 71580 89475 95440 119300 143160 160807 178950 238600 286320 321614 357900 477200 482421 643228 715800 804035 964842 1286456 1431600 1608070 1929684 2412105 2572912 3216140 3859368 4020175 4824210 6432280 7718736 8040350 9648420 12060525 12864560 16080700 19296840 24121050 32161400 38593680 48242100 64322800 96484200 191842751 192968400 383685502 575528253 767371004 959213755 1151056506 1534742008 1918427510 2302113012 2877641265 3069484016 3836855020 4604226024 4796068775 5755282530 7673710040 9208452048 9592137550 11510565060 14388206325 15347420080 19184275100 23021130120 28776412650 38368550200 46042260240 57552825300 76737100400 115105650600 230211301200