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230003224000 = 2653112613673
BaseRepresentation
bin1101011000110101000…
…0101010110111000000
3210222200022122101100221
43112031100222313000
512232021311132000
6253354555152424
722421460101164
oct3261520526700
9728608571327
10230003224000
11895a89074a0
12386ab745714
13188c6272864
14b1bcb28ca4
155eb24d861a
hex358d42adc0

230003224000 has 112 divisors (see below), whose sum is σ = 621385311456. Its totient is φ = 83637504000.

The previous prime is 230003223997. The next prime is 230003224001. The reversal of 230003224000 is 422300032.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230003224001) 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 15 ways as a sum of consecutive naturals, for example, 1218837 + ... + 1394836.

It is an arithmetic number, because the mean of its divisors is an integer number (5548083138).

Almost surely, 2230003224000 is an apocalyptic number.

230003224000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

230003224000 is an abundant number, since it is smaller than the sum of its proper divisors (391382087456).

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

230003224000 is a wasteful number, since it uses less digits than its factorization.

230003224000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2613711 (or 2613691 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 16.

Adding to 230003224000 its reverse (422300032), we get a palindrome (230425524032).

The spelling of 230003224000 in words is "two hundred thirty billion, three million, two hundred twenty-four thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 64 80 88 100 110 125 160 176 200 220 250 275 320 352 400 440 500 550 704 800 880 1000 1100 1375 1600 1760 2000 2200 2750 3520 4000 4400 5500 8000 8800 11000 17600 22000 44000 88000 2613673 5227346 10454692 13068365 20909384 26136730 28750403 41818768 52273460 57500806 65341825 83637536 104546920 115001612 130683650 143752015 167275072 209093840 230003224 261367300 287504030 326709125 418187680 460006448 522734600 575008060 653418250 718760075 836375360 920012896 1045469200 1150016120 1306836500 1437520150 1840025792 2090938400 2300032240 2613673000 2875040300 3593800375 4181876800 4600064480 5227346000 5750080600 7187600750 9200128960 10454692000 11500161200 14375201500 20909384000 23000322400 28750403000 46000644800 57500806000 115001612000 230003224000